A geometric series has first term 3 and common ratio 1/3. What is the sum of its first 7 terms, written as a reduced fraction?

The terms of a sequence are given by $a_n=n^2+9$. Is the sequence arithmetic, geometric or neither?

What is the exact value of $7^{{\log }_7(11)}$?

To three decimal places, what is the value of log_2(61)?

Every term of a geometric sequence is positive. The 3rd term is 20 and the 7th term is 320. What is the explicit formula for $a_n$?

A sequence has the explicit formula $a_n=7+6(n-1)$. Which term of this sequence has the value 85?

What is the sum of all the multiples of 3 from 3 through 90?

Solve log_4(x) = 5. What is the exact value of x?

$800 is invested at 4% annual interest compounded semiannually. Using $A=P(1+r/n{)}^{nt}$, what is the balance after 3 years, to the nearest cent?

Is the sequence -14, -3, 8, 19, 30 arithmetic, geometric or neither?

Which equation is $4^3=64$ written in logarithmic form?

Solve $2^{x+4}=256$. What is the exact value of x?

What is the sum of all the multiples of 9 from 9 through 360?

A sample is modeled by $N(t)=20e^{-0.6t}$. Does N model growth, decay, or neither?

What is the range of $f(x)=-3^x+7$, written in interval notation?

Which expression is equal to log_3(17), rewritten in base e using natural logarithms?

What is the range of $f(x)=-6^x+1$, written in interval notation?

What is the y-intercept of $f(x)=4(3{)}^x-4$?

A graph approaches the line y = 5 as x decreases, passes through (0, 6), and rises steeply to the right. Which equation fits?

A geometric series has first term 7 and common ratio 2. What is the sum of its first 7 terms?

Which equation is $6^5=7776$ written in logarithmic form?

A geometric series has first term 7 and common ratio 3. What is the sum of its first 6 terms?

An arithmetic series has first term 9 and common difference 5. What is the sum of its first 20 terms?

What is the sum of the first 8 terms of the series 6 + (-24) + 96 + (-384) + ...?

To three decimal places, what is the value of log_4(23)?

The same $6,000 is invested for 1 year at 8%, once compounded semiannually and once compounded continuously. Which balance is larger, and why?

What is the range of $f(x)=-4^x+8$, written in interval notation?

A geometric sequence has first term 256 and common ratio -1/2. What is the 7th term?

Does $f(x)=120(1.07{)}^x$ model exponential growth, exponential decay, or neither?

A geometric sequence has first term 64 and common ratio -2. What is the 5th term?

A student writes log(x + 7) = log(x) + log(7). Which expression does log(x) + log(7) actually equal?

Which equation is $5^6=15625$ written in logarithmic form?

Assume all variables represent positive real numbers. Which expression is log_4(x/(yz)) fully expanded?

What is the decay factor of $y=300(0.65{)}^t$?

Solve $81^x=243$. What is the exact value of x?

To find the 4th term of the geometric sequence with $a_1=3$ and common ratio 2, a student computes $3\ast 2^4$ and reports 48. What is the correct 4th term?

Which expression is equal to log_3(74), rewritten in base 10 using common logarithms?

A sequence has the explicit formula $a_n=3+6(n-1)$. Which term of this sequence has the value 165?

An arithmetic sequence is defined by $a_1=-9$ and $a_n=a_{n-1}-6$. What is its explicit formula?

A town of 25,000 people grows 8% each year. Which function gives the population after t years?

A sequence has the explicit formula $a_n=14+5(n-1)$. Which term of this sequence has the value 179?

A town of 6,500 people grows 4% each year. Which function gives the population after t years?

An account of $12,000 grows continuously at 5% per year, so $A=P{e}^{rt}$. To the nearest cent, what is the balance after 5 years?

Solve $8^x=2$. What is the exact value of x?

What is the exact value of log_3(9)?

Assume all variables represent positive real numbers. Which expression is log_7($x^4\ast \sqrt{y}$) fully expanded?

A geometric sequence has first term 48 and common ratio -3. What is the 5th term?

Solve $3^x=120$. To three decimal places, what is x?

The graph of $y=7^x$ passes through (2, 49). Which point must lie on the graph of y = log_7(x)?

Solve log_2(x) + log_2(x - 4) = 5. What is the solution?

An arithmetic series has first term 3 and 24th term 49. What is the sum of its first 24 terms?

What is the exact value of log_2(1024)?

Before solving log_2(x - 5) = 1, which values of x must be excluded from consideration?

Before solving log_4(x - 7) = 2, which values of x must be excluded from consideration?

Solve $9^x=243$. What is the exact value of x?

Is the graph of $f(x)=11(2{)}^x$ increasing over all real numbers, decreasing over all real numbers, or neither?

A graph approaches the line y = 1 as x decreases, passes through (0, 2), and rises steeply to the right. Which equation fits?

A geometric sequence is defined by $a_1=5$ and $a_n=-5\ast a_{n-1}$. What is its explicit formula?

What is the vertical asymptote of f(x) = log_3(x - 4)?

A geometric series has first term 9 and common ratio 2/5. What is the sum of its first 6 terms, written as a reduced fraction?