Logarithmic Properties

Practice Questions

GRE Subject Test: Math › Logarithmic Properties

Questions

9

1

Rewrite the following expression as a single logarithm

$5log_35x+log_3\frac{1}{4x^3}-log_3x^2$

2

$Rewrite\ as\ one\ log: [log(x)+log(z)]-log(y)$

3

$Rewrite\ in\ log\ form: 12^(^x^+^2^)=y$

4

$Rewrite\ in\ exponential\ form: log_{3}(22)=y$

5

Express $4\log_4 (x^2)-\log_4(y^{3})+\frac {1}{5}\log_4(z)$ as a single logarithm.

6

$Expand: log\left ( \frac{xy}{z} \right )$

7

$Rewrite\ as\ one\ log:\ log(a)-(\left log(b)+log(c) \right)$

8

$Solve\ for\ x: log_{3}(x)=2$

9

Rewrite the following expression as a single logarithm

$5log_35x+log_3\frac{1}{4x^3}-log_3x^2$

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