Question

Write in Logarithmic Form:
125=5 ^ 3

A. Log (base 125) 5 = 3
B. Log (base 3) 125 = 5
C. Log (base 5) 125 = 3

Answer 1

Conditions

Write in Logarithmic Form:

$$125 = 5 ^ {3}$$

A. Log (base 125) $5 = 3$

B. Log (base 3) $125 = 5$

C. Log (base 5) $125 = 3$

Solution

The correct Logarithmic Form is C. Log (base 5) $125 = 3$

$$\log_ {5} 125 = \log_ {5} 5 ^ {3} = 3 \log_ {5} 5 = 3$$