SOLUTION: Solve by using logarithms, or otherwise, the equations: i) {{{(2)^(x+1)+(2)^(x)=9}}} ii) {{{(2)^(x-2)(3)^(x+2)=(6)^(x)}}} *PLEASE ANSWER AS SOON AS POSSIBLE BRO =)

Algebra.Com
Question 466703: Solve by using logarithms, or otherwise, the equations:
i)
ii)
*PLEASE ANSWER AS SOON AS POSSIBLE BRO =)

Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
i)



x*log(2) = log(3)
x = log(3)/log(2)
x =~ 1.58496
----------------
ii)
(x-2)log(2) + (x+2)log(3) = x*log(6)
xlog(2) - log(4) + xlog(3) + log(9) = xlog(6)
x(log(2) + log(3) - log(6)) = log(4/9)
x*log(1) = log(4/9)
0 = log(4/9) --> no solution

RELATED QUESTIONS

Solve the equation : 2(x)^1/2 = 9 + 5 (x)^-1/2 *Please answer as soon as possible. :)... (answered by jsmallt9)
Hello! I need help solving 2 equations involving Logarithms. How do I correctly graph... (answered by lwsshak3)
Solve the cubic equation: {{{4(x)^(3)+4(x)^(2)-19x-10=0}}} *Please answer as soon as (answered by robertb)
Solve: {{{(2)^(x-2)(3)^(x+2) = 6^x}}} *Please answer as soon as possible bro.... (answered by richard1234)
Solve for x: 2^(x+1)+5=17. express the answer to the nearest hundredth. please answer as (answered by swincher4391)
I need this as soon as possible. Please send me the steps-by-steps please. ( x^3... (answered by JenniferTutors)
How do you solve this system of equations by graphing? y=-3x-2 y=x-2 Please give me an... (answered by ankor@dixie-net.com)
Can you please help me with these questions? I am stuck! 1. Simplify completely. 5x - (answered by edjones)
SOLVE USING THE SQUARE ROOT PROPERTY: -2(x-2)^2= -6 HERE I'M CONFUSED ON WHAT ALL TO... (answered by checkley77)