SOLUTION: Solve the exponential equation. Use a calculator to obtain a decimal approximation,correct to two decimal places, for the solution. 4^x+6=6

Question 245545: Solve the exponential equation. Use a calculator to obtain a decimal approximation,correct to two decimal places, for the solution.
4^x+6=6
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Solve the exponential equation. Use a calculator to obtain a decimal approximation,correct to two decimal places, for the solution.
4^(x+6) = 6
---
Take the log of both sides:
(x+6)*log(4) = log(6)
x+6 = [log(6)/log(4)]
x = [log(6)/log(4)]-6
x = -4.708
Cheers,
Stan H.
RELATED QUESTIONS
Solve the exponential equation. Use a calculator to obtain a decimal... (answered by nerdybill)

Solve the exponential equation. Use a calculator to obtain a decimal approximation,... (answered by rfer)

Solve the exponential equation. Use a calculator to obtain a decimal approximation,... (answered by Alan3354)

Solve the exponential equation. Use a calculator to obtain a decimal approximation,... (answered by sofiyac,Alan3354)

Solve the exponential equation. Use a calculator to obtain a decimal approximation,... (answered by user_dude2008)

Please Help! Solve the equation and give the exact answer. Then if necessary, use a... (answered by lwsshak3)

Solve the exponential equation. Express the solution in terms of natural logarithms. Then (answered by Tatiana_Stebko)

Solve the exponential equation. Express the solution in terms of natural logarithms. Then (answered by Alan3354,stanbon)

solve the exponential equation. express the solutions in terms of natural logarithms.... (answered by rapaljer)