What is the answer to 5(3^x-6)=10 ?

The answer to 5(3^x-6)=10 is x=(3ln(2))/(ln(3))

Solve for x: 5(3^x-6)=10

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

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5 (3^{x} - 6) = 10

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

Decimal Notation

x = 1.89278 \dots

Solution steps

5 (3^{x} - 6) = 10

Divide both sides by

5

3^{x} - 6 = 2

Move

6

to the right side

3^{x} = 8

Apply exponent rules

x ln (3) = ln (8)

Solve

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

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

\frac{e ^{2 x + 2}}{e ^{2}} = 4

9^{x - 1} = 81

3^{x + 2} = 81

7^{3 x - 8} = 7

3^{x + 2} = 15

What is the answer to 5(3^x-6)=10 ?
The answer to 5(3^x-6)=10 is x=(3ln(2))/(ln(3))
Solve for x: 5(3^x-6)=10
The solution is x=(3ln(2))/(ln(3))