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15 votes
15 votes
Solve the logarithmic equation log (125)=X.

User Andre Dublin
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1 Answer

15 votes
15 votes

The equation is expressed as

x = log5 125

We would express 125 as 5^3

Thus, the equation would be

x = log5 5^3

We would apply one of the laws of logarithm which is expressed as

logb M^k = klogb M

The expression becomes

x = 3log5 5

We would apply another law which is expressed as

logb b = 1

b in this case is 5

Thus, we have

x = 3 * 1

x = 3

The correct option is b

User Padi Amu
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3.2k points