Question

$5 {}^{3x - 7} = 125 find \: x$
find this question​

Answer 1

Step-by-step explanation:

5to the power of 3x-7= 125

5to the power of 3x-7=5to the power of 3

therefore powers are equal

3x-7=3

3x=3+7

3x=10

x=10/3

Answer 2

Answer:

10/3

Step-by-step explanation:

Given :

$\mathrm{5^{3x - 7} = 125}$

To find :

Value of x

Solution :

$\longmapsto \mathrm{5^{3x - 7} = 125}$

We know that, 125 = 5³

$\implies \mathrm{5^{3x - 7} = 5^3}$

$\implies \mathrm{3x-7=3}$

$\implies \mathrm{3x = 10}$

$\therefore \underline{\boxed{\mathbf{x = \dfrac{10}{3}}}}$

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