6. Exponential & Logarithmic Functions

Use properties of logarithms to expand each logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using a calculator. log(x/100)

Find each value. If applicable, give an approximation to four decimal places. log 10¹²

Use properties of logarithms to expand each logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using a calculator. log₄ (64/y)

Use properties of logarithms to expand each logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using a calculator. ln(e²/5)

Find each value. If applicable, give an approximation to four decimal places. log 0.1

Use properties of logarithms to expand each logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using a calculator. log_b x³

Find each value. If applicable, give an approximation to four decimal places. log 63

Find each value. If applicable, give an approximation to four decimal places. log 0.0022

Use properties of logarithms to expand each logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using a calculator. log N^-6

Use properties of logarithms to expand each logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using a calculator. $\ln \sqrt[5]{x}$

Find each value. If applicable, give an approximation to four decimal places. log(387 $\times$ 23)

Use properties of logarithms to expand each logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using a calculator. log_b (x² y)

Find each value. If applicable, give an approximation to four decimal places. log 518/342

Find each value. If applicable, give an approximation to four decimal places. log 387 + log 23

Use properties of logarithms to expand each logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using a calculator. ${\log }_4\left(\frac{\sqrt{x}}{64}\right)$