# maths

1.Log10(x²-12x+36)=2
2.log4 log3 log2 x=0
3.log3 [log9x+1/2+9x]=2x
4.2log4(4-4)=4-log2(-2-x)

1. 👍 0
2. 👎 0
3. 👁 186
1. 1. by definition of logs
x^2 - 12x + 36 = 10^2
(x-6)^2 = 100
x-6 = ±√100 = ±10
x = 6 ± 10 = 16 or -4

2. you have the product of 3 numbers = 0
so one of them is zero
but log4 and log2 are non-zero real numbers, so
log2x must be 0
that is, x = 1

my first reaction is to see:
3^(2x) = log9x + 1/2 + 9x
-- that would be a horrible equation to solve

Why have (4-4) , that would be 0 and log 0 is undefined.

1. 👍 0
2. 👎 0
posted by Reiny

## Similar Questions

1. ### Algebra 2

Express as a logarithm of a single number or expression: 1. 5log4^p+log4^q 2. log10^x-4 log10^y 3. 4log3^A-1/2 log3^B 4. log5^M+1/4 log5^N 5. log2^M+log2^N+3 6. log5^x-log5^y+2 7. 1-3 log5^x 8. (1+log9^x)/2 I need to see all of

asked by Brandon on May 12, 2011
2. ### precalc

I don't understand how to do these w/o calc. I tried to write it in a way that will make someone understand how to read it. Hope I typed it clear enough.Thanks so much for the help anyone! How to find the exact value of logarithm:

asked by Katie on November 12, 2015
3. ### trig

solve for x log4 64+ log2 2 ________________ =x log3 81

asked by Beth on February 28, 2012
4. ### math

express the following as a single logarithm log2+log3+log4

asked by kathrine on April 15, 2013
5. ### Math - logs

log_3(2x - 1) = 2, Find x. Here's what I've done: log_3(2x) * log_3(1) = 2 log2x/log3 * log1/log3 = 2 trial and error... log2 (2*1.4)/log3 * 0 = 2.03... x = 1.4 I think I did it wrong because anything that multiplies with 0 gives

asked by Anonymous on January 24, 2009
1. ### Calculus

Find the inverse of each relation: y = (0.5)^(x+2) and y = 3log base 2 (x-3) + 2 For the first one I got y=log base 0.5 (x+2)...but the answer in the back of the textbook says that it is not x+2, but x-2. Can someone tell me why

asked by Raj on May 6, 2007
2. ### maths pls help

1. Solve the following simultaneous equations: log2 xy = 7 log2 (x^2/y) = 5 2. If log y x =a and log z x=b where x is not equal to 1, express the following in terms of a and b: logy (yz) Solve the following simultaneous equations:

asked by Claire on November 21, 2007
3. ### Algebra 2

Simplify: 1. 2log10^5+log10^4 2. 2log3^6-log3^4 3. log4^40-log4^5 4. log4^3-log4^48 I need to see all of the steps. Thanks

asked by Brandon on May 12, 2011
4. ### Math

(I have two questions) 1. Solve for x without a calculator: log3(x^2)=2log3(4)-4log3(5) This is what I have so far: 2log3(x)=log3(4^2)-log3(5^4) 2log3(x)=log3(16/625) ...and now I'm stuck. 2. Simplify: 2log4(9)-2log3

asked by Moe on January 28, 2010
5. ### math

My teacher assigned us this problem: Using the following logarithms Log2,log3 and log10 solve for the log150,log 75 incorporating the properties of logarithms ,i tried ,but failed plz help!!

asked by Marie on May 2, 2016

More Similar Questions