Question

solve for x 5 raise to power (x minus 4) is equal to 1​

Answer 1

5 raise to the power (x-4)=1

put x=4

(4-4)=0

5 raise to the power 0=1

rhs=lhs

Answer 2

The value of x is 4.

Step-by-step explanation:

Given : Expression  $5^{x-4}=1$.

To find : Solve for x ?

Solution :

$5^{x-4}=1$

Applying exponential property, $x^{a-b}=\frac{x^a}{x^b}$

$\frac{5^x}{5^4}=1$

$5^x=5^4$

Comparing the base,

$x=4$

Therefore, the value of x is 4.

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