What is the answer to 200=100(1+8/100)^x ?

The answer to 200=100(1+8/100)^x is x=(ln(2))/(ln(27/25))

Solve for x: 200=100(1+8/100)^x

The solution is x=(ln(2))/(ln(27/25))

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200 = 100 (1 + \frac{8}{100})^{x}

x = \frac{ln ( 2 )}{ln ( \frac{27}{25} )}

Solution steps

200 = 100 (1 + \frac{8}{100})^{x}

Switch sides

100 (1 + \frac{8}{100})^{x} = 200

Divide both sides by

100

(1 + \frac{8}{100})^{x} = 2

Apply exponent rules

x ln (1 + \frac{8}{100}) = ln (2)

Solve

x ln (1 + \frac{8}{100}) = ln (2) : x = \frac{ln ( 2 )}{ln ( \frac{27}{25} )}

x = \frac{ln ( 2 )}{ln ( \frac{27}{25} )}

8^{x - 3} = 6 4^{3 - x}

\frac{5 ^{x + 1} - 20}{10 + 5 ^{x}} = 3

10 + 2 \cdot 2^{x} = 18

5^{x} = - x + 6

2 - e^{x} = 0

What is the answer to 200=100(1+8/100)^x ?
The answer to 200=100(1+8/100)^x is x=(ln(2))/(ln(27/25))
Solve for x: 200=100(1+8/100)^x
The solution is x=(ln(2))/(ln(27/25))