Question

Solve:

2^x-3= 1/8

(and if you can, put a step by step. you don't have to though)

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Answer 1

`x = 0`

Explanation:

Write the number in exponential form with the base of 2:

`{2}^(x - 3) = {2}^( - 3)`

Since the bases are the same, set the exponents equals.

`x - 3 = - 3`

Cancel equal terms on both sides of the equation:

`x = 0`

Answer 2

Given

`2 {}^(x - 3) = (1)/(8)`

To Find value of 'x'

Solution

`2 {}^(x - 3) = (1)/(8) \\ \\ \implies2 {}^(x - 3) = 2 {}^( - 3) \\ \\ \\ Since \: Bases \: Are \\ Equal \: We \: Need \\ To \: Evaluate \\ The \: Powers \\ \\ \implies \: x - 3 = - 3 \\ \\ \implies x = - 3 + 3 \\ \\ \implies \: x = 0`

`\fbox \red{Hope This Helps You ❤}`