Homework Help: college algebra

Posted by confused--two questions please help on Friday, November 30, 2012 at 2:57pm.

solve the following logarithmic equation.
1. 2log(lower2) (x-2) + log(lower2)^2=3
I do not know how to make the 2 by the g on my computer.

2. log(lower729^x) + log(lower27^x) + log(lower3^x) =9
again I do not know how to make the numbers lower case

please show work, and if you can tell me how to make the lower case numbers on here.

college algebra - Steve, Friday, November 30, 2012 at 3:24pm
lots of folks just write log_2(x-2)
the numbers are subscripts, not lower-case.

1. since we're dealing with logs base 2, just say log:

2log(x-2) + log2 = 3
log(x-2)^2 + log2 = 3
log(2(x-2)^2) = 3
2(x-2)^2 = 8
(x-2)^2 = 4
x = 0 or 4

I assumed that log(lower2)^2 meant log(lower2)2

2.
since 729 = 3^5, log base 729 = 1/5 log base 3
since 27 = 3^3, log base 27 = 1/3 log base 3
so, using all logs base 3,

1/6 logx + 1/3 logx + logx = 9
3/2 logx = 9
logx = 6
x = 3^6 = 729

Answer this Question

Related Questions

calculus - Please help me solve this equation. log[2](3)+log[2](x)=log[2](5)+log...
algebra homework - please check my answers. Solve the logarithmic equation. Be ...
College Algebra - Solve the logarithmic equation for x. log(base 3)(x+6) - log(...
College Algebra - Solve the logarithmic equation. Express your solutions in ...
Logs. - Can you please help me with the following log. problems? thanxs! Solve ...
Precalculus - What am I doing wrong? I keep getting 48 and its wrong... Solve ...
Re: Algebra II - How to solve Log (9x+5) - Log ((x^2)-1) = 1/2 16 16 (The 16 is...
Pre-Cal - Solve the following logarithmic equation. Exact words only: log 3(x+4...
Algebra 2 - solve the equation: log(base2)^(x-3)log(base2)^5 = 2log(base2)^10 I ...
college algebra - solve the following logarithm equation log (4x+7)=1+log(x-6) x...

For Further Reading

First Name:
School Subject:
Answer: