What is the answer to 4(1.2)^x=36 ?

The answer to 4(1.2)^x=36 is x=(2ln(3))/(ln(1.2))

Solve for x: 4(1.2)^x=36

The solution is x=(2ln(3))/(ln(1.2))

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4 (1.2)^{x} = 36

x = \frac{2 ln ( 3 )}{ln ( 1.2 )}

Decimal Notation

x = 12.05137 \dots

Solution steps

4 (1.2)^{x} = 36

Divide both sides by

4

1. 2^{x} = 9

Apply exponent rules

x ln (1.2) = ln (9)

Solve

x ln (1.2) = ln (9) : x = \frac{2 ln ( 3 )}{ln ( 1.2 )}

x = \frac{2 ln ( 3 )}{ln ( 1.2 )}

e^{3 x + 2} = 1

2^{x + 1} = 256

3 6^{2 x + 1} = 6^{x - 3}

6 e^{- 7 x} = 2

6 4^{x} = \frac{1}{2}

What is the answer to 4(1.2)^x=36 ?
The answer to 4(1.2)^x=36 is x=(2ln(3))/(ln(1.2))
Solve for x: 4(1.2)^x=36
The solution is x=(2ln(3))/(ln(1.2))