What is the answer to 6^x-28=-8 ?

The answer to 6^x-28=-8 is x=(ln(20))/(ln(6))

Solve for x: 6^x-28=-8

The solution is x=(ln(20))/(ln(6))

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6^{x} - 28 = - 8

x = \frac{ln ( 20 )}{ln ( 6 )}

Decimal Notation

x = 1.67195 \dots

Solution steps

6^{x} - 28 = - 8

Move

28

to the right side

6^{x} = 20

Apply exponent rules

x ln (6) = ln (20)

Solve

x ln (6) = ln (20) : x = \frac{ln ( 20 )}{ln ( 6 )}

x = \frac{ln ( 20 )}{ln ( 6 )}

1500 = 159 + 28 e^{0.02 t}

4 = 1 0^{x}

2 5^{x - 2} = 12 5^{x - 1}

3^{x - 2} = 5

\frac{6 ^{10}}{6 ^{x}} = 6^{6}