Question

Simplify using properties of logarithms as a single logarithm.
1/3log7(8)

Answer 1

Can you please clarify the problem?

Answer 2

Simplify using properties of logarithms to write each expression as a single logarithm. Do not evaluate using a calculator.
(b) 1/3log7(8)
(c) 2log(x) + 3log(x+1)
(d) log(x) - 1/2log(y)

Answer 3

No I mean I have no clue how it's written, is that log base 7?

Answer 4

\[\huge \frac{ 1 }{ 3 }\log _{7}8?\]

Answer 5

Like that?

Answer 6

I'm not sure how to use the equation editor... so I try to write it out by hand but usually mess it up

Answer 7

yes, that's it

Answer 8

\[n*\log _{b}(m) =>\log _{b}(m^n)\]

Answer 9

\[\log_{7}(8)^{1/3}\]

Answer 10

is that right?

Answer 11

the 1/3 should be inside the ()

Answer 12

Yeah so what's 8^(1/3)?

Answer 13

You have a fraction in the exponent, so it would be \[\sqrt[3]{8}\]

Answer 14

I think

Answer 15

2

Answer 16

Yeah

\[\frac{ \log(2) }{ \log(7) }\]

Answer 17

how do you solve that without a calc?

Answer 18

You leave it as that

Answer 19

oh, that makes a lot of sense