Question

For what value of x does 4 superscript x baseline = (one-eighth) superscript x 5?

Answer 1

An equation is formed of two equal expressions. The value of x for which 4ˣ=(1/8)ˣ⁺⁵ is 3.

What is an equation?

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

The value of x for which 4ˣ=(1/8)ˣ⁺⁵ is,

4ˣ=(1/8)ˣ⁺⁵

(2²)ˣ = (2⁻³)ˣ⁺⁵

2²ˣ = 2⁽⁻³ˣ⁺¹⁵⁾

2x = -3x + 15

5x = 15

x = 3

Hence, the value of x for which 4ˣ=(1/8)ˣ⁺⁵ is 3.

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