Find the value of $\frac{5 x+1}{3}$, if

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Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Algebra

Question:

Find the value of $\frac{5 x+1}{3}$, if $25^{4 x-3}=5^{6 x+8}$

Options:

$\frac{11}{3}$

$\frac{17}{6}$

Correct Answer:

Explanation:

$25^{4 x-3}=5^{6 x+8}$

= $5^{8 x-6}=5^{6 x+8}$

If the base is same of any multiple terms then we can put powers equal.

So, 8 x-6 = 6 x+8

= 2x = 14

x = 7

Put the value of x in $\frac{5 x+1}{3}$

= $\frac{5 (7)+1}{3}$ = 12