What is the answer to 11^{x-8}-11=48 ?

The answer to 11^{x-8}-11=48 is x=(ln(59))/(ln(11))+8

Solve for x: 11^{x-8}-11=48

The solution is x=(ln(59))/(ln(11))+8

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1 1^{x - 8} - 11 = 48

x = \frac{ln ( 59 )}{ln ( 11 )} + 8

Decimal Notation

x = 9.70046 \dots

Solution steps

1 1^{x - 8} - 11 = 48

Move

11

to the right side

1 1^{x - 8} = 59

Apply exponent rules

(x - 8) ln (11) = ln (59)

Solve

(x - 8) ln (11) = ln (59) : x = \frac{ln ( 59 )}{ln ( 11 )} + 8

x = \frac{ln ( 59 )}{ln ( 11 )} + 8

2 = e^{5 x}

1 0^{x} = 5 \cdot 1 0^{- x}

- 6 + 10 e^{- 2 x} = 9

2^{x + 3} + 4^{x + 1} - 320 = 0

9^{2 x} = \frac{1}{81}

What is the answer to 11^{x-8}-11=48 ?
The answer to 11^{x-8}-11=48 is x=(ln(59))/(ln(11))+8
Solve for x: 11^{x-8}-11=48
The solution is x=(ln(59))/(ln(11))+8