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Popular >

3^x+3^{x+2}=810

Solution

3^{x} + 3^{x + 2} = 810

Solution

x = 4

Solution steps

3^{x} + 3^{x + 2} = 810

Factor

3^{x} + 3^{x + 2} : 10 \cdot 3^{x}

10 \cdot 3^{x} = 810

Divide both sides by

10

3^{x} = 81

Apply exponent rules

x = 4

Popular Examples

\frac{5 ^{x}}{5} = 5^{2}

3^{2t-2}=7^{t+2}

3^{2 t - 2} = 7^{t + 2}

8^{x} = \frac{9}{9 ^{x}}

(\frac{5}{6})^{x} = \frac{6}{5}

5^{x^2}=25^{x+1}

5^{x^{2}} = 2 5^{x + 1}

Frequently Asked Questions (FAQ)

What is the answer to 3^x+3^{x+2}=810 ?
The answer to 3^x+3^{x+2}=810 is x=4
Solve for x: 3^x+3^{x+2}=810
The solution is x=4