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Exponents
Exponents: solve for the variable

Solving exponential equations of the same base.

 Step 1. Ignore the bases, and simply set the exponents equal each other Step 2. Solve for the variable

Solve for x

4x=49
x=9

Solve for x

4x+1=49
x+1=9

x=9-1
x=8

Solving exponential equations of with unlike bases.

 Step 1. Rewrite the bases as powers of a common base Step 2. Substitute the rewritten bases into original equation Step 3. Simplify exponents Step 4. Solve like an exponential equation of like bases

Solve for x

43=2x
(22)3=2x

26=2x
6=x
x=6