Logarithm Practice Problems Quiz (Rules, Equations, ln)

Question 1

Simplify: $\log_5\left(\frac{25}{x}\right)$.

Accepted Answer

$2-\log_5 x$

Answer

$\log_5 25+\log_5 x$

Answer

$\log_5 25 \div \log_5 x$

Answer

$\log_5(25-x)$

Question 2

Solve for $x$: $3^{x+1}=81$.

Accepted Answer

$x=3$

Answer

$x=\frac{\log 81}{\log 3}+1$

Answer

$x=5$

Answer

$x=4$

Question 3

An investment of 500 dollars grows continuously at $6\%$ per year. Approximately how long until it doubles? (Use $A=Pe^{rt}$.)

Accepted Answer

About $11.6$ years

Answer

About $33.3$ years

Answer

About $8.3$ years

Answer

About $16.7$ years

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