What is the answer to 3(10^{x+4}-3)=9 ?

The answer to 3(10^{x+4}-3)=9 is x=(ln(6))/(ln(10))-4

Solve for x: 3(10^{x+4}-3)=9

The solution is x=(ln(6))/(ln(10))-4

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3 (1 0^{x + 4} - 3) = 9

x = \frac{ln ( 6 )}{ln ( 10 )} - 4

Decimal Notation

x = - 3.22184 \dots

Solution steps

3 (1 0^{x + 4} - 3) = 9

Divide both sides by

3

1 0^{x + 4} - 3 = 3

Move

3

to the right side

1 0^{x + 4} = 6

Apply exponent rules

(x + 4) ln (10) = ln (6)

Solve

(x + 4) ln (10) = ln (6) : x = \frac{ln ( 6 )}{ln ( 10 )} - 4

x = \frac{ln ( 6 )}{ln ( 10 )} - 4

3 + x + e^{x} = 4

2^{x} = 4^{x - 1}

e^{2 x} + e^{x} = 1

10 e^{- 0.03 t} = 4

123456789 = 3.5 (0.9825)^{x}

What is the answer to 3(10^{x+4}-3)=9 ?
The answer to 3(10^{x+4}-3)=9 is x=(ln(6))/(ln(10))-4
Solve for x: 3(10^{x+4}-3)=9
The solution is x=(ln(6))/(ln(10))-4