Monday

December 22, 2014

December 22, 2014

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

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 3:24pmlots 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**

algebra homework - please check my answers. Solve the logarithmic equation. Be ...

calculus - Please help me solve this equation. log[2](3)+log[2](x)=log[2](5)+log...

Re: Algebra II - How to solve Log (9x+5) - Log ((x^2)-1) = 1/2 16 16 (The 16 is...

Advanced Functions/ Precalculus Log - 1. Evaluate 4^(log base4 64) + 10^(log100...

college algebra - Solve the logarithmic equation. Log x +log2x = 4 Wouldn't this...

math - Logarithm!!! Select all of the following that are true statements: (a) ...

Math - solve log(7x-3)+2log(5)=2+log(x+3) I've attempted to do this question ...

Precalculus - What am I doing wrong? I keep getting 48 and its wrong... Solve ...

algebra - logarithms Solve the following equations 3^x-2=6 Add 2 to both sides ...

College Algebra - Solve the logarithmic equation for x. log(base 3)(x+6) - log(...