What is the answer to solvefor x,15-0.5^x=-6 ?

The answer to solvefor x,15-0.5^x=-6 is x=(ln(21))/(ln(0.5))

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solvefor x,15-0.5^x=-6

solve for

x, 15 - 0. 5^{x} = - 6

x = \frac{ln ( 21 )}{ln ( 0.5 )}

Decimal Notation

x = - 4.39231 \dots

Solution steps

15 - 0. 5^{x} = - 6

Move

15

to the right side

- 0. 5^{x} = - 21

Divide both sides by

- 1

0. 5^{x} = 21

Apply exponent rules

x ln (0.5) = ln (21)

Solve

x ln (0.5) = ln (21) : x = \frac{ln ( 21 )}{ln ( 0.5 )}

x = \frac{ln ( 21 )}{ln ( 0.5 )}

5^{x} = - 5

5^{x} = - 7

3^{2 x - 5} = 1

3^{2 x - 5} = 9

(2^{2})^{5} = 3 2^{x}

What is the answer to solvefor x,15-0.5^x=-6 ?
The answer to solvefor x,15-0.5^x=-6 is x=(ln(21))/(ln(0.5))