What is the answer to -6^{x-6}-9=-14 ?

The answer to -6^{x-6}-9=-14 is x=(ln(5))/(ln(6))+6

Solve for x: -6^{x-6}-9=-14

The solution is x=(ln(5))/(ln(6))+6

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- 6^{x - 6} - 9 = - 14

x = \frac{ln ( 5 )}{ln ( 6 )} + 6

Decimal Notation

x = 6.89824 \dots

Solution steps

- 6^{x - 6} - 9 = - 14

Move

9

to the right side

- 6^{x - 6} = - 5

Divide both sides by

- 1

6^{x - 6} = 5

Apply exponent rules

(x - 6) ln (6) = ln (5)

Solve

(x - 6) ln (6) = ln (5) : x = \frac{ln ( 5 )}{ln ( 6 )} + 6

x = \frac{ln ( 5 )}{ln ( 6 )} + 6

3^{16} = 9^{2 x}

1. 1^{x} = 2

\frac{e ^{x + 5}}{e ^{5}} = 3

9^{x} - 3^{x + 1} + 2 = 0

e^{e^{x}} = 7

What is the answer to -6^{x-6}-9=-14 ?
The answer to -6^{x-6}-9=-14 is x=(ln(5))/(ln(6))+6
Solve for x: -6^{x-6}-9=-14
The solution is x=(ln(5))/(ln(6))+6