Homework Help: pre-calculus-check over work

Posted by riya on Monday, April 21, 2008 at 10:21am.

1). change to exponential form:
log2^256=8; 2^8=256
log0.0001=-4; 10^-4=0.0001

2). change to logarithmic form:
5^3=125; log5^125=3
4^-3=1/64; log4^1/64=-3

3). solve the equation:
3^(x-2)=27^(x+1)
3^(x-2)=(3^3)^(x+1)
3^(x-2)=3^(3x+3)
x-2=3x+3
-5=2x
-5/2=x
2^(x^(2)+1)=4^(x+2)
2^(x^(2)+1)=(2^2)^(x+2)
2^(x^(2)+1)=2^(2x+4)
x^(2)+1=2x+4
x^(2)-2x-3
(x+1)(x-3)
x=-1;x=3

pre-calculus-check over work - bobpursley, Monday, April 21, 2008 at 11:18am
all correct.

Answer this Question

Related Questions

Logs-check my anwers - Write the equation in its equivalent exponential form. ...
Math - write the logarithmic equation in exponential form log0.001=-3
Math - Write the following logarithmic equation in exponential form? 1- log0.001...
precalculus - solve the logarithmic equation . express solution in exact form ...
math--please check - Change the logarithmic equation to an equivalent equation ...
Algebra 2 - Express as a logarithm of a single number or expression: 1. 5log4^p+...
Math Algebra 2 - #4. Express the logarithm in terms of log2M and log2N: log2 1/...
Calculus - Taylor - could you please help me with solving this problem? #1) Find...
Math Algebra 2 - How do I put log in a TI-84 calculator. #1.Express the ...
Algebra Help - Let x = log_2 1/8 Write the exponential form of the equation and ...

For Further Reading

First Name:
School Subject:
Answer: