What is the answer to 8.1=1.12^{x-3}+2 ?

The answer to 8.1=1.12^{x-3}+2 is x=(ln(6.1))/(ln(1.12))+3

Solve for x: 8.1=1.12^{x-3}+2

The solution is x=(ln(6.1))/(ln(1.12))+3

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8.1 = 1.1 2^{x - 3} + 2

x = \frac{ln ( 6.1 )}{ln ( 1.12 )} + 3

Solution steps

8.1 = 1.1 2^{x - 3} + 2

Switch sides

1.1 2^{x - 3} + 2 = 8.1

Move

2

to the right side

1.1 2^{x - 3} = 6.1

Apply exponent rules

(x - 3) ln (1.12) = ln (6.1)

Solve

(x - 3) ln (1.12) = ln (6.1) : x = \frac{ln ( 6.1 )}{ln ( 1.12 )} + 3

x = \frac{ln ( 6.1 )}{ln ( 1.12 )} + 3

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

4 9^{x} + 7^{x} = 12

4^{2 x} - 65 \cdot 4^{x} + 64 = 0

e^{4 x} = 4 e^{x}

4^{4 x} = 1 6^{\frac{3}{2} x + 9}

What is the answer to 8.1=1.12^{x-3}+2 ?
The answer to 8.1=1.12^{x-3}+2 is x=(ln(6.1))/(ln(1.12))+3
Solve for x: 8.1=1.12^{x-3}+2
The solution is x=(ln(6.1))/(ln(1.12))+3