Question

Solve for x and find the value of (18x)^1/2 if 5^2x+3=5^2x+1 +600

Answer 1

The value of x = 1/2

$9^{1/2}$ is the value of  (18x)^1/2.

Step-by-step explanation:

Given,

$5^{2x+3}$ = $5^{2x + 1}$ + 600

⇒ $5^{2x+3}$ - $5^{2x + 1}$ = 600

⇒ $5^{2x + 1}$ ($5^2$ - 1) = 600

⇒ $5^{2x + 1}$ (25 - 1) = 600

⇒ $5^{2x + 1}$ (24) = 600

⇒ $5^{2x + 1}$ = 600/24

⇒ $5^{2x + 1}$ = 25

⇒ $5^{2x + 1}$ = 5^2

⇒ 2x + 1 = 2

⇒ 2x = 2 -1

⇒ 2x = 1

∵ x = 1/2

By putting the value of x in $(18x)^1/2$,

= $(18 * 1/2)^{1/2}$

= $(9)^{1/2}$

Learn more: find the value

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Answer 2

Answer:

Step-by-step explanation: