Write log8 3 as a logarithm of base 5.?
I'm trying to express log8(3) as a logarithm with base 5. I'm feeling quite lost in helping my nephew with his Algebra 2 work. In other subjects, I could easily provide answers, but math seems to be a real challenge for me. Any assistance would be greatly appreciated!
1 Answers
logs are conceptually simple, but
if you think about them too much, they make you go a little “funny” in the head.
you know: a little… “funny.”
they do to me, anyway.
so
the thing your nephew needs to do is to learn the few simple rules,
then practice the heck out of them
until he doesn’t have to think about them too much.
as far as your specific question,
all that’s needed is the “change of base” rule:
log_b(x) = log_a(x) / log_a(b)
The very name of the rule gives you confidence, don’t it?
so
log_8(3) = log_5(3) / log_5(8)
there is no way in the rules to simplify into a single log expression.
any more than that, and I start to go a little… “funny” in the head.
♣♦
Related Questions
Question 1 (Yes/No Worth 1 point): Another expression for "it is raining" is "Está nublado." (Yes/No) Question 3 (Fill-i...
Find the circumference of a circle with a radius of 5 inches. Please express your answer in terms of pi.
I need assistance with an Algebra 2 problem. The question states that the variable ( r ) varies directly with ( s ) and...
I hope this message finds you well. I have a few questions regarding Frank Garza’s Jockey School. I want to clarify that...
How tall is 77 inches when converted to feet?
I'm in 12th grade, and I have my physics board exam tomorrow. How can I effectively cover the entire course material in...
In circle O, ST is a diameter. What is the value of x if (2x + 8) equals one of the following options: 22.0, 25.0, 25.4,...
A rescue pilot needs to drop a survival kit while flying at an altitude of 2,000.0 meters with a forward velocity of 100...
Hi everyone, I’m trying to make a decision between enrolling my child in a preschool or a Montessori program. He’s curr...
What is the hybridization of the phosphorus atom in PCl3? Additionally, could you please provide an explanation of the s...