What is the answer to 10(1.5)^{3x}=80 ?

The answer to 10(1.5)^{3x}=80 is x=(ln(2))/(ln(1.5))

Solve for x: 10(1.5)^{3x}=80

The solution is x=(ln(2))/(ln(1.5))

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10 (1.5)^{3 x} = 80

x = \frac{ln ( 2 )}{ln ( 1.5 )}

Decimal Notation

x = 1.70951 \dots

Solution steps

10 (1.5)^{3 x} = 80

Divide both sides by

10

1. 5^{3 x} = 8

Apply exponent rules

3 x ln (1.5) = ln (8)

Solve

3 x ln (1.5) = ln (8) : x = \frac{ln ( 2 )}{ln ( 1.5 )}

x = \frac{ln ( 2 )}{ln ( 1.5 )}

e^{- 3 x} = 0

2^{(x + 4)} = e^{3 x}

e^{x} + e^{- x} = 5

e^{x} + e^{- x} = 7

- 2 e^{- x^{2}} x = 0

What is the answer to 10(1.5)^{3x}=80 ?
The answer to 10(1.5)^{3x}=80 is x=(ln(2))/(ln(1.5))
Solve for x: 10(1.5)^{3x}=80
The solution is x=(ln(2))/(ln(1.5))