SOLUTION: I've been trying to figure out this for 3 days now and I've not been able to understand how to do this... please help me solve this. How do I find log a(5), if I'm given log a(7

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: I've been trying to figure out this for 3 days now and I've not been able to understand how to do this... please help me solve this. How do I find log a(5), if I'm given log a(7      Log On


   

Question 916834: I've been trying to figure out this for 3 days now and I've not been able to understand how to do this... please help me solve this.
How do I find log a(5), if I'm given log a(7)=1.086 and log a(35)=1.984?
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39621) About Me  (Show Source):
You can put this solution on YOUR website!
Find log a(5), if log a(7)=1.086 and log a(35)=1.984.

log%28a%2C35%29=1.984
log%28a%2C5%2A7%29=1.984, factorization of input
log%28a%2C5%29%2Blog%28a%2C7%29=1.984, rule for logarithms
log%28a%2C5%29%2B1.086=1.984, substituted what was given
log%28a%2C5%29=1.984-1.086
highlight%28log%28a%2C5%29=0.898%29

Answer by MathTherapy(10555) About Me  (Show Source):
You can put this solution on YOUR website!
I've been trying to figure out this for 3 days now and I've not been able to understand how to do this... please help me solve this.
How do I find log a(5), if I'm given log a(7)=1.086 and log a(35)=1.984?


log+%28a%2C+5%29_____log+%28a%2C+35%2F7%29_____log+%28a%2C+35%29+-+log+%28a%2C+7%29

log+%28a%2C+5%29, or log+%28a%2C+35%29+-+log+%28a%2C+7%29 becomes:

1.984 – 1.086, or highlight_green%28.898%29