What is the answer to 5^{x+1}+4(5^x)=45 ?

The answer to 5^{x+1}+4(5^x)=45 is x=1

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5^{x+1}+4(5^x)=45

5^{x + 1} + 4 (5^{x}) = 45

x = 1

Solution steps

5^{x + 1} + 4 (5^{x}) = 45

Factor

5^{x + 1} + 4 \cdot 5^{x} : 9 \cdot 5^{x}

9 \cdot 5^{x} = 45

Divide both sides by

9

5^{x} = 5

Apply exponent rules

x = 1

12 5^{2 x + 5} = 62 5^{x + 4}

a, 5^{a} = b

2 \cdot 4^{x} = 8^{x}

What is the answer to 5^{x+1}+4(5^x)=45 ?
The answer to 5^{x+1}+4(5^x)=45 is x=1
Solve for x: 5^{x+1}+4(5^x)=45
The solution is x=1