Quiz about Evaluating Logarithms

Question 1

Write equation in exponential form. $$\log_2128=7$$

Accepted Answer

$$2^7=128$$

Answer

$$7^2=128$$

Answer

$$128^2=7$$

Answer

$$2^{128}=7$$

Question 2

Write equation in exponential form. $$\log_864=2$$

Accepted Answer

Answer

Answer

Answer

$$2^{64}=8$$

Question 3

Write equation in exponential form. $$\log_3\frac{1}{27}=-3$$

Accepted Answer

$$3^{-3}=\frac{1}{27}$$

Answer

$$-3^3=\frac{1}{27}$$

Answer

$$\frac{1}{27}^3=-3$$

Answer

$$\frac{1}{27}^{-3}=3$$

Question 4

Write the equation in logarithmic form. $$4^4=256$$

Accepted Answer

$$\log_4256=4$$

Answer

$$\log_44=256$$

Answer

$$\log_{256}4=4$$

Answer

$$\log4=256$$

Question 5

Write the equation in logarithmic form. $$8^3=512$$

Accepted Answer

$$\log_8512=3$$

Answer

$$\log_38=512$$

Answer

$$\log_3512=8$$

Answer

$$\log_{512}8=3$$

Question 6

Write the equation in logarithmic form. $$27^{\frac{2}{3}}=9$$

Accepted Answer

$$\log_{27}9=\frac{2}{3}$$

Answer

$$\log_{\frac{2}{3}}9=27$$

Answer

$$\log_{27}\frac{2}{3}=9$$

Answer

$$\log_927=\frac{2}{3}$$

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