What is the answer to 5^{(x-1)}+5^{(x-2)}=30 ?

The answer to 5^{(x-1)}+5^{(x-2)}=30 is x=3

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5^{(x-1)}+5^{(x-2)}=30

5^{(x - 1)} + 5^{(x - 2)} = 30

x = 3

Solution steps

5^{(x - 1)} + 5^{(x - 2)} = 30

Factor

5^{x - 1} + 5^{x - 2} : 6 \cdot 5^{x - 2}

6 \cdot 5^{x - 2} = 30

Divide both sides by

6

5^{x - 2} = 5

Apply exponent rules

x - 2 = 1

Solve

x - 2 = 1 : x = 3

x = 3

(\frac{1}{2})^{\frac{t}{2}} = 64

3^{2 x - 1} \cdot 2 7^{3 - x} = 1

3 x + 2 = e^{x}

4^{x} = \frac{1}{8}

\frac{( 2 ^{x} + 2 ^{- x} )}{2} = 3

What is the answer to 5^{(x-1)}+5^{(x-2)}=30 ?
The answer to 5^{(x-1)}+5^{(x-2)}=30 is x=3
Solve for x: 5^{(x-1)}+5^{(x-2)}=30
The solution is x=3