What is the answer to 5^{x+2}=100 ?

The answer to 5^{x+2}=100 is x=(2ln(10))/(ln(5))-2

Solve for x: 5^{x+2}=100

The solution is x=(2ln(10))/(ln(5))-2

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5^{x + 2} = 100

x = \frac{2 ln ( 10 )}{ln ( 5 )} - 2

Solution steps

5^{x + 2} = 100

Apply exponent rules

(x + 2) ln (5) = ln (100)

Solve

(x + 2) ln (5) = ln (100) : x = \frac{2 ln ( 10 )}{ln ( 5 )} - 2

x = \frac{2 ln ( 10 )}{ln ( 5 )} - 2

(\frac{1}{2})^{n} = 4^{(n + 1)}

2^{- x} = 4

2^{- x} = 8

e^{8 - 4 x} = 2

e^{8 - 4 x} = 3

What is the answer to 5^{x+2}=100 ?
The answer to 5^{x+2}=100 is x=(2ln(10))/(ln(5))-2
Solve for x: 5^{x+2}=100
The solution is x=(2ln(10))/(ln(5))-2