SOLUTION: please instruct on how you can use a scientific calculator to solve log 0.75 to the base 5

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: please instruct on how you can use a scientific calculator to solve log 0.75 to the base 5      Log On


   



Question 946487: please instruct on how you can use a scientific calculator to solve log 0.75 to the base 5
Found 2 solutions by Fombitz, MathLover1:
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Depending on the type of calculator there might be a way to do it but with any calculator you can do the following.
log%285%2C%280.75%29%29=log%2810%2C%280.75%29%29%2Flog%2810%2C%285%29%29

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
y+=+log%28b%2C+x%29

in your case:
+log%285%2C+0.75%29

"how do you calculate a log on a scientific calculator"?
the "log" is just the standard log (base_ 10), so typically you can just enter a number and press the "log" button to get its standard logarithm
if you had a different base you wanted to use, remember the rule
log%28+b%2Ca%29+=+log%28c%2Ca%29+%2F+log%28+c%2Cb%29; this allows you to convert to whatever base you want, and thus lets you use the standard log for everything
so, change the base first in base 10
=+log%280.75%29%2Flog%285%29
now you type it in a scientific calculator, and you will get this answer:
-0.1787469216608008