Question

If 25^x+1=125divided by 5^x find the value of x

Answer 1

Answer:

x ≈ 0.99166031

Step-by-step explanation:

Solve for x by simplifying both sides of the equation, then isolating the variable.

x ≈ 0.99166031

Answer 2

Step-by-step explanation:

Given

$\rm25^{x+1} = \frac{125}{5^{x} }$

To find the value of x

By using the law of indices

$\rm\frac{ {a}^{m} }{ {a}^{n} } =a^ m-n$

we get,

$\rm5 ^{2x + 2}= 5 ^{ 3 - x}$

Now equate the powers

$\rm2x + 2 = 3 - x \\ \rm 3x = 1 \\ \rm \: x = \frac{1}{3}$