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+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
