Logarithms and exponents

Practice Questions

Algebra II › Logarithms and exponents

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1

Given the following:

$\log_{8} M = N$

Decide if the following expression is true or false:

$\log_{M} 8 = \frac{1}{N}$ for all positive .

2

Try to answer without a calculator.

True or false:

$\log_{7} 700 = 2$

3

$\log_{N }10 = M$ , with positive and not equal to 1.

Which of the following is true of $\log_{N }100$ for all such ?

4

Try without a calculator:

Evaluate $\log_{16} 8$

5

Solve for :

Round to the nearest hundredth.

6

Simplify:

7

Solve for :

Round to the nearest hundredth.

8

Solve for :

Round to the nearest hundredth.

9

Which equation is equivalent to:

$\log _{4}\left( \frac{1}{2}\right)=x$

10

Solve for :

Round to the nearest hundredth.

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