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What is the solution of log 3(x - 2)125 = 3 ? Choose one answer. a. x = 1 over 3 b. x = 1 c. x = 7 over 3 d. x = 4

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From the definition of logarithm:

log_b x = y if
b^y = x (1)

The equation in our problem is:

log_(3x-2) 125 = 3
If we use definition (1), this equation becomes

(3x-2)^3 = 125

Let's solve it:

(3x-2)^3 = 5^3

3x-2 = 5

3x=7

x= (7)/(3)

therefore, the correct answer is C).
User Patrick Parker
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