Solve for x 8^x=32

Problem

8=32

Solution

1. Identify the common base for both sides of the equation. Both 8 and 32 are powers of 2

2. Rewrite the numbers using the base 2 Since 8=2 and 32=2 the equation becomes:

(2)x=2

3. Apply the power of a power rule, which states (am)n=a(m*n)

2(3*x)=2

4. Equate the exponents since the bases are now identical.

3*x=5

5. Solve for x by dividing both sides by 3

x=5/3

Final Answer

8=32⇒x=5/3

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