SOLUTION: for each pair of equations, solve one of them by taking logs of both sides. Solve the other by expressing both sides as a power of the same number. A. 9^x = 4 B. 9^x = 3/3^x

Question 196782: for each pair of equations, solve one of them by taking logs of both sides. Solve the other by expressing both sides as a power of the same number.
A. 9^x = 4
B. 9^x = 3/3^x
Answer by Edwin McCravy(20064) (Show Source): You can put this solution on YOUR website!




Take logs of both side:



Use a rule of logarithms on the left



Divide both sides by 









-------------------



Write  as 

Write  on the right as 



Multiply inner exponent by outer exponent on
the left side.

Subtract the exponents on the right:



Since the bases on each side are positive and
not equal to 1, we can equate the exponents:









Edwin

RELATED QUESTIONS
for each pair of equations, solve one of them by taking logs of both sides. Solve the... (answered by Edwin McCravy,stanbon)
Solve for x by taking the sqrt of both sides:... (answered by rapaljer,JBarnum)
Solve by taking the logarithm of both sides. e^2x/3=12 then... (answered by lwsshak3)
Solve by taking the square roots of both sides. (x + 4)^2 - 5 = 2 (answered by josgarithmetic)
solve each equation for x by first rewriting both sides as powers of the same base.... (answered by lwsshak3)
I need to solve for x on the following equations. I honestly don't know what to do.... (answered by fcabanski)
I don't understand how to solve and check the quadratic equation below by taking the... (answered by Maths68)
Please help me solve by taking roots of of both sides: y^2=16... (answered by Earlsdon,solver91311)
solve by graphing and find the two coordinate pair as a solution of the two equations... (answered by Fombitz)