What is the answer to 6^{(x+2)}=21 ?

The answer to 6^{(x+2)}=21 is x=(ln(21))/(ln(6))-2

Solve for x: 6^{(x+2)}=21

The solution is x=(ln(21))/(ln(6))-2

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6^{(x + 2)} = 21

x = \frac{ln ( 21 )}{ln ( 6 )} - 2

Decimal Notation

x = - 0.30081 \dots

Solution steps

6^{(x + 2)} = 21

Apply exponent rules

(x + 2) ln (6) = ln (21)

Solve

(x + 2) ln (6) = ln (21) : x = \frac{ln ( 21 )}{ln ( 6 )} - 2

x = \frac{ln ( 21 )}{ln ( 6 )} - 2

3^{2 - x} = \frac{1}{81}

e^{x} = 2 x + 3

2^{3 x - 4} = 10

(5 y)^{y} = 5^{5^{5}}

5^{2 x} = 625

What is the answer to 6^{(x+2)}=21 ?
The answer to 6^{(x+2)}=21 is x=(ln(21))/(ln(6))-2
Solve for x: 6^{(x+2)}=21
The solution is x=(ln(21))/(ln(6))-2