What is the solution of log(3x+4)^125 = 3? (3x+4) is the base. 125 is the argument. x=1/3 x=1 x=7/3 x=4

asked Aug 14, 2023 185k views

16 votes

What is the solution of log(3x+4)^125 = 3? (3x+4) is the base. 125 is the argument.

x=1/3
x=1
x=7/3
x=4

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9 votes

Answer:

x = 1/3

Explanation:

= > log_((3x + 4))125 = 3

$= > {(3x + 4)}^(3) = 125 \: ( \because \: log_(a)b = x = > {a}^(x) = b)$

$= > 3x + 4 = \sqrt[3]{125} = 5$

= > 3x = 5 - 4 = 1

$\therefore \: \: x = (1)/(3)$

Hope you've understood the solution.

Jozala answered Aug 20, 2023

7.2k points

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