What is the answer to 3^{x-3}-1=5 ?

The answer to 3^{x-3}-1=5 is x=(ln(6))/(ln(3))+3

Solve for x: 3^{x-3}-1=5

The solution is x=(ln(6))/(ln(3))+3

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3^{x - 3} - 1 = 5

x = \frac{ln ( 6 )}{ln ( 3 )} + 3

Decimal Notation

x = 4.63092 \dots

Solution steps

3^{x - 3} - 1 = 5

Move

1

to the right side

3^{x - 3} = 6

Apply exponent rules

(x - 3) ln (3) = ln (6)

Solve

(x - 3) ln (3) = ln (6) : x = \frac{ln ( 6 )}{ln ( 3 )} + 3

x = \frac{ln ( 6 )}{ln ( 3 )} + 3

1 0^{x + 1} = 2.4

3^{1 - 2 x} = 1

5^{x} = 0.008

3^{x} = e^{x + 6}

5^{2 x} - 4 (5^{x}) - 5 = 0

What is the answer to 3^{x-3}-1=5 ?
The answer to 3^{x-3}-1=5 is x=(ln(6))/(ln(3))+3
Solve for x: 3^{x-3}-1=5
The solution is x=(ln(6))/(ln(3))+3