SOLUTION: Give the following in exact answers, no decimals: A) ln (x+6)=2 B) log (2x-4)=1 C) log base 4 (-2x-3)=7

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Give the following in exact answers, no decimals: A) ln (x+6)=2 B) log (2x-4)=1 C) log base 4 (-2x-3)=7      Log On


   

Question 1006512: Give the following in exact answers, no decimals:
A) ln (x+6)=2
B) log (2x-4)=1
C) log base 4 (-2x-3)=7
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

A)
ln+%28x%2B6%29=2.....here you have base e, and in exponential form you will have
e%5E2=x%2B6
x=e%5E2-6

B)
log+%282x-4%29=1.......since base is 10, we can write 1 as log%2810%2C10%29
log+%282x-4%29=log%2810%2C10%29...since log same
2x-4=10
2x=10%2B4
x=14%2F2
x=7

C)
log%28+4%2C+%28-2x-3%29%29=7..........convert to base 10
log%28%28-2x-3%29%29%2Flog%28+4%29=7
log%28%28-2x-3%29%29=7log%28+4%29
log%28%28-2x-3%29%29=log%28+4%5E7%29...since log same
-2x-3=+4%5E7
-2x-3=+16384
-16384-3=2x+
x=-16387%2F2+