What is the answer to -6^{2x}+5=-18.5 ?

The answer to -6^{2x}+5=-18.5 is x=(ln(23.5))/(2ln(6))

Solve for x: -6^{2x}+5=-18.5

The solution is x=(ln(23.5))/(2ln(6))

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- 6^{2 x} + 5 = - 18.5

x = \frac{ln ( 23.5 )}{2 ln ( 6 )}

Decimal Notation

x = 0.88097 \dots

Solution steps

- 6^{2 x} + 5 = - 18.5

Move

5

to the right side

- 6^{2 x} = - 23.5

Divide both sides by

- 1

6^{2 x} = 23.5

Apply exponent rules

2 x ln (6) = ln (23.5)

Solve

2 x ln (6) = ln (23.5) : x = \frac{ln ( 23.5 )}{2 ln ( 6 )}

x = \frac{ln ( 23.5 )}{2 ln ( 6 )}

8^{6 x - 5} 2^{3 x + 1} = 2^{8 x + 9}

3^{x - 5} = 7

2 (1 + 0.06)^{x} = 5 (1 + 0.008)^{x}

2^{(x - 5)} = 3

t, e^{- Y t} = x

What is the answer to -6^{2x}+5=-18.5 ?
The answer to -6^{2x}+5=-18.5 is x=(ln(23.5))/(2ln(6))
Solve for x: -6^{2x}+5=-18.5
The solution is x=(ln(23.5))/(2ln(6))