# 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 <--how do you simplify with different bases?

Thanks!

1. 👍
2. 👎
3. 👁
1. from
2log3(x)=log3(16/625)
log3 (x^2) = log3 (16/625
so x^2 = 16/625
x = √(16/625) = 4/25

1. 👍
2. 👎

## Similar Questions

1. ### maths

express log9 in terms of log3 x and log3 y and solve for x and y simultaneously

2. ### calculus

1) Solve for x in terms of k: log3(x) + log3(x+7) = k; 3 is the base 2) e^(x+5) = e^(x) + 6, solve for x. Please help, I have no idea how to do these and I've tried several times!

3. ### Basic mathematics

2log3 5+log3 30+3log3 6

4. ### Math

Given that x=log3^5 and y=log3^2, rewrite log3^60 in terms of x and y.

1. ### mathematics

Given that log5 3=0.683 and log5 7=1.209.without using calculator,evaluate (a) log5 1.4 b)log7 75 c) log3 125

2. ### trig

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

3. ### Math

Solve simultaneously log (x-1)+2logy=2log3 and logx+logy=log6

4. ### Math

A student takes a true-false test exam with 10 questions. If the student guesses all ten questions, find the probability he gets 7 or 8 right. p(x=7) + p(x=8) (.5)^7(.5)^3 + (.5)^8(.5)^2 I have the correct answers which are

(Re-posting because I think the first one got lost in all the questions) This isn't a test or assignment, it's a review for studying. I'm trying to catch up in my lesson as I have fallen quite behind due to health issues. I'm here

2. ### Pre Calculus

Evaluate the function f(x) = log3 x at x =1/27 without using a calculator a. –4 b. –2 c. 1/27 d. –3 e. 27

3. ### Maths

Solve the equation 3log3 x-log3 x=2?

4. ### Trigonometry

log3(x^2)=2log3(4)-4log3(5)