What is the answer to 6^{a+8}-6=73 ?

The answer to 6^{a+8}-6=73 is a=(ln(79))/(ln(6))-8

Solve for a: 6^{a+8}-6=73

The solution is a=(ln(79))/(ln(6))-8

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6^{a + 8} - 6 = 73

a = \frac{ln ( 79 )}{ln ( 6 )} - 8

Decimal Notation

a = - 5.56136 \dots

Solution steps

6^{a + 8} - 6 = 73

Move

6

to the right side

6^{a + 8} = 79

Apply exponent rules

(a + 8) ln (6) = ln (79)

Solve

(a + 8) ln (6) = ln (79) : a = \frac{ln ( 79 )}{ln ( 6 )} - 8

a = \frac{ln ( 79 )}{ln ( 6 )} - 8

6 e^{x} = 0

1 6^{t} = 64

4 e^{3 x + 3} - 7 = 53

0 = e^{x} x^{2} (x^{2} + x - 6)

3^{3 x} = 81

What is the answer to 6^{a+8}-6=73 ?
The answer to 6^{a+8}-6=73 is a=(ln(79))/(ln(6))-8
Solve for a: 6^{a+8}-6=73
The solution is a=(ln(79))/(ln(6))-8