Question

Solve for x in the following equation.

Answer 1

An equation is formed of two equal expressions. The value of x in the given exponential equation is 10. The correct option is 10.

What is an equation?

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

In the given exponential equation $5^{x-2}=5^8$, It can be observed that the base of both the sides of the equation is the same, therefore, 5. Therefore, the equation can be written as,

$5^{x-2}=5^8$

Since the base on both the sides are the same, comparing the exponential values on both sides,

x - 2 = 8

x = 8  + 2

x = 10

Hence, the value of x in the given exponential equation is 10.

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