# Solving exponential equations using exponent rules

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##### Examples
###### Lessons
1. Solve for "$x$", with common base
1. $2^x=2^5$
2. $3^{2x+1}=3^{11}$
2. Solve for "$x$", by converting to common base
1. $3^{4x-8}=27^{-2x}$
2. $8^{7-2x}=16^{5x+10}$
3. $3^{\frac{x}{4}-\frac{4}{5}}=81{^5}\sqrt{729}$
4. $\frac{1}{81^{2-x}}=27^{4x+5}$
5. $(\frac{1}{4})^{1-2x}=8^{x-3}$
6. $9^{x+2}=(3^{4x-3})(3^5)$
7. $(\frac{343}{1000})^{-\frac{12}{x}}=(\frac{10}{7})^x$
3. Solve: $5(9^x)+40(3^x)-45=0$