# Math Algebra 2

#4. Express the logarithm in terms of log2M and log2N:
log2 1/MN

#5. Simplify:
log4 3 - log4 48

#6. Solve the equation:
loga x = 3/2loga 9 + loga 2

#7. Solve the equation:
logb (x2 + 7) = 2/3logb 64

#8. Solve the equation:
loga (3x + 5) - loga (x - 5) = loga 8

1. 👍
2. 👎
3. 👁
1. log2(1/MN) = -log2(MN) = -(log2M + log2N)

log4(3)-log4(48) = log4(3/48) = log4(1/16) = log4(4^-2) = -2

loga(x) = 3/2 loga(9) + loga(2)
loga(x) = loga(27*2)
x = 54

logb(x^2+7) = logb(16)
x^2+7 = 16
x^2 = 9
x = ±3

loga(3x+5)-loga(x-5) = loga(8)
loga((3x+5)/(x-5)) = loga(8)
(3x+5)/(x-5) = 8
x = 9

1. 👍
2. 👎

## Similar Questions

1. ### PreCalculus

Write each expression as a sum or difference of logarithms. Express powers as factors. log2(x^3/x - 3) x > 3 Answer: 3 log2x - log2 (x-3) Could someone show me the steps to get to this answer?

2. ### Probability

The random variable X is uniformly distributed over the interval [θ,2θ]. The parameter θ is unknown and is modeled as the value of a continuous random variable Θ, uniformly distributed between zero and one. Given an

Express sec2x in terms of tanx and secx I know you have to sec(2x) = 1/cos(2x) = 1/(cos²x - sin²x) But how do you split that. Like how to simplify that?

4. ### calc

given that log2 3 = x, log 2 5=y and log 2 7 = z, express log 2 21 in terms of x,y, and z the 2 is the base

1. ### Logarithmic Algebra

let log2=a, log3=b, and log5=c. express the indicated logarithm in terms of a, b, and c. log6/25 log 100

2. ### calculus

1.find the zeroes of the function f(x)=log4(x+1)+log4(4x-3) 2.which of the following is the equation c^(4d+1)=7a-b written in logarithm form

3. ### Math

Use the properties of logarithms to rewrite and simplify the logarithmic expression. 1.) log(9/300) 2.) log2(4^2 x 3^4)

4. ### Math - Logarithmic

Solve: 2^(5x-6) = 7 My work: log^(5x-6) = log7 5x - 6(log2) = log7 5x = log7 + 6(log2) x = (log7 + log2^6) / 5 And textbook answer: (log7) / (log2) What did I do wrong?

Given that log2 3=h and log2 5=k, express log2 0.45 in terms of h and k.

2. ### College Algebra

I am asked to write a logarithmic expresion as a single logarithm with coefficient 1 and simplify as much as possible. The equation is: 4logbase5Y-3logbase5X+1/2logbase5Z. Could some please help me I am not understanding this

3. ### math

express log2+log3 as a single logarithm

4. ### Algebra 2

Can In 5 + log2 10 be written as a single logarithm? Explain.