What is the answer to 7.9(1.3)^{1.3x}=352 ?

The answer to 7.9(1.3)^{1.3x}=352 is x=(ln(3520/79))/(1.3ln(1.3))

Solve for x: 7.9(1.3)^{1.3x}=352

The solution is x=(ln(3520/79))/(1.3ln(1.3))

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7.9 (1.3)^{1.3 x} = 352

x = \frac{ln ( \frac{3520}{79} )}{1.3 ln ( 1.3 )}

Decimal Notation

x = 11.13181 \dots

Solution steps

7.9 (1.3)^{1.3 x} = 352

Multiply both sides by

10

79 \cdot 1. 3^{1.3 x} = 3520

Divide both sides by

79

1. 3^{1.3 x} = \frac{3520}{79}

Apply exponent rules

1.3 x ln (1.3) = ln (\frac{3520}{79})

Solve

1.3 x ln (1.3) = ln (\frac{3520}{79}) : x = \frac{ln ( \frac{3520}{79} )}{1.3 ln ( 1.3 )}

x = \frac{ln ( \frac{3520}{79} )}{1.3 ln ( 1.3 )}

(1 + 0.06)^{x} = 4800000

a^{x} = 3

e^{x - 1} - 4 = 6

4005 e^{(0.04 t)} = 6218.59

2^{2 x} - 5 \cdot 2^{2 x + 2} + 64 = 0

What is the answer to 7.9(1.3)^{1.3x}=352 ?
The answer to 7.9(1.3)^{1.3x}=352 is x=(ln(3520/79))/(1.3ln(1.3))
Solve for x: 7.9(1.3)^{1.3x}=352
The solution is x=(ln(3520/79))/(1.3ln(1.3))