Alg 2B: Unit 2 - Logarithms Review

The exponential equation $$5^x=18$$ can be rewritten as a logarithmic equation in the form $$\log_ba=x.$$

Determine the values of $$a$$ and $$b.$$

The exponential equation $$10^4=10000$$ can be written as a logarithmic equation in the form: $$\log_xy=z.$$

Determine the values of $$x,\ y$$ and $$z.$$

Solve the logarithmic equation:

$$\log10^{48}=x$$

Consider the logarithmic expression: $$\log\left(14\cdot10^3\right)$$

Expand the expression by applying the rules for logarithms.

Solve the equation:

$$10^{\log x}=10^3$$

Given that $$\log_b10\approx1.285$$ and $$\log_b34\approx1.968$$

Evaluate $$\log_b340$$

Round to the nearest thousandth.

Consider the logarithmic expression: $$\log125$$

Determine the values of k and x to show an equivalent way of writing the expression as: $$k\log x$$

Consider the logarithmic expression: $$\log\left(\sqrt[3]{100}\right)$$

Which of the following is an equivalent way of writing the expression?