Question

Find the value of x. If 5^x + 5^x + 5^x = 375

Answer 1

Here, as for the provided questions we are asked here to find the value of x. (when the basic information regarding question is given here) –

GIVEN :

$➠ \: {5}^{ \rm {x}} \: + \: {5}^{ \rm {x}} \: + \: {5}^{ \rm {x}} = 375$

TO FIND :

$➠ \rm \: {Value \: of \: \rm {x}} = \bold {?}$

STEP-BY-STEP EXPLANATION :

Now, here as per the provided question we will have to find the value of x –

$➠ \: {5}^{ \rm {x}} \: + \: {5}^{ \rm {x}} \: + \: {5}^{ \rm {x}} = 375$

$➠ \: 5(1 + 1 + 1) = 375$

$➠ \: 5(3) = 375$

$➠ \: 5 = \frac{ \bold {375}}{ \bold {3}} = 125$

$➠ \: {5}^{ \rm {x}} = {5}^{3}$

$➠ \: \rm {x} = 3$

Therefore, value of x = 3.

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Answer 2

Given :-

• 5^x + 5^x + 5^x = 375

To calculate :-

• The value of x

Calculation :-

➥ 5^x + 5^x + 5^x = 375

➥ 5 (1 + 1 + 1) = 375

➥ 5 (3) = 375

➥ 5 = 375/3 = 125

➥ 5^x = 5^3

➥ x = 3

Hence, the value of x is 3.