What is the answer to 2(1.24)^x+1=14 ?

The answer to 2(1.24)^x+1=14 is x=(ln(13/2))/(ln(1.24))

Solve for x: 2(1.24)^x+1=14

The solution is x=(ln(13/2))/(ln(1.24))

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2 (1.24)^{x} + 1 = 14

x = \frac{ln ( \frac{13}{2} )}{ln ( 1.24 )}

Decimal Notation

x = 8.70154 \dots

Solution steps

2 (1.24)^{x} + 1 = 14

Move

1

to the right side

2 \cdot 1.2 4^{x} = 13

Divide both sides by

2

1.2 4^{x} = \frac{13}{2}

Apply exponent rules

x ln (1.24) = ln (\frac{13}{2})

Solve

x ln (1.24) = ln (\frac{13}{2}) : x = \frac{ln ( \frac{13}{2} )}{ln ( 1.24 )}

x = \frac{ln ( \frac{13}{2} )}{ln ( 1.24 )}

e^{x} + 2 = 3 e^{- x}

7^{4 x} = 3 1^{3 x + 4}

2^{x} = 162

(\frac{1}{4})^{2 x} = 3 2^{4 x - 2}

y, 2^{y} = x

What is the answer to 2(1.24)^x+1=14 ?
The answer to 2(1.24)^x+1=14 is x=(ln(13/2))/(ln(1.24))
Solve for x: 2(1.24)^x+1=14
The solution is x=(ln(13/2))/(ln(1.24))