What is the answer to 5.2(1.12)^n=8 ?

The answer to 5.2(1.12)^n=8 is n=(ln(20/13))/(ln(1.12))

Solve for n: 5.2(1.12)^n=8

The solution is n=(ln(20/13))/(ln(1.12))

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5.2 (1.12)^{n} = 8

n = \frac{ln ( \frac{20}{13} )}{ln ( 1.12 )}

Decimal Notation

n = 3.80118 \dots

Solution steps

5.2 (1.12)^{n} = 8

Multiply both sides by

10

52 \cdot 1.1 2^{n} = 80

Divide both sides by

52

1.1 2^{n} = \frac{20}{13}

Apply exponent rules

n ln (1.12) = ln (\frac{20}{13})

Solve

n ln (1.12) = ln (\frac{20}{13}) : n = \frac{ln ( \frac{20}{13} )}{ln ( 1.12 )}

n = \frac{ln ( \frac{20}{13} )}{ln ( 1.12 )}

35 - 12 e^{5 - 4 x} = 0

2 - 3^{x} + 3^{x + 1} = 0

12 5^{x - 1} = 2 5^{3 x}

3^{5 x - 3} = 24

\frac{1}{2 ^{- 3 x}} = 8

What is the answer to 5.2(1.12)^n=8 ?
The answer to 5.2(1.12)^n=8 is n=(ln(20/13))/(ln(1.12))
Solve for n: 5.2(1.12)^n=8
The solution is n=(ln(20/13))/(ln(1.12))