What is the answer to 4*3^{x-2}=60 ?

The answer to 4*3^{x-2}=60 is x=(ln(15))/(ln(3))+2

Solve for x: 4*3^{x-2}=60

The solution is x=(ln(15))/(ln(3))+2

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4 \cdot 3^{x - 2} = 60

x = \frac{ln ( 15 )}{ln ( 3 )} + 2

Decimal Notation

x = 4.46497 \dots

Solution steps

4 \cdot 3^{x - 2} = 60

Divide both sides by

4

3^{x - 2} = 15

Apply exponent rules

(x - 2) ln (3) = ln (15)

Solve

(x - 2) ln (3) = ln (15) : x = \frac{ln ( 15 )}{ln ( 3 )} + 2

x = \frac{ln ( 15 )}{ln ( 3 )} + 2

3^{x} = \frac{1}{27}

2 0^{b} = 4

1240000 = 525600 e^{0.03 (t)}

e^{l n (x + 1)} = 3

2^{1 - x} + 2^{1 + x} = 4

What is the answer to 4*3^{x-2}=60 ?
The answer to 4*3^{x-2}=60 is x=(ln(15))/(ln(3))+2
Solve for x: 4*3^{x-2}=60
The solution is x=(ln(15))/(ln(3))+2