SOLUTION: logarithm base 6 of 5 = 0.898
logarithm base 6 of 8 = 0.161
FIND logarithm base 6 of 10 without using a calculator.
Algebra.Com
Question 598270: logarithm base 6 of 5 = 0.898
logarithm base 6 of 8 = 0.161
FIND logarithm base 6 of 10 without using a calculator.
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
Nope. Your numbers are wrong. It is impossible for
\ >\ \log_6(8))
In fact, since 
,
\ >\ 1)
With all that in mind, I checked on a hunch:
\ \approx\ 1.161)
Note that
so
\ =\ \log_6\left(2^3\right)\ =\ 3\,\cdot\,\log_6(2))
so
\ \approx\ \frac{1.161}{3}\ =\ 0.387)
Since the the log of the product is the sum of the logs and since 10 is equal to 5 times 2:
\ =\ \log_6(5)\ +\ \log_6(2))
All that is left is to plug in the values and do the arithmetic.
John
My calculator said it, I believe it, that settles it
RELATED QUESTIONS
Find the logarithm using the change of base formula
log (base)o.1... (answered by tommyt3rd)
find the logarithm: log base 36 of... (answered by orca)
Find the exact value of the logarithm 4log base 6, cube root of... (answered by Fombitz)
Find the logarithm of log base 5 cubed root... (answered by nerdybill)
Determine the appropriate base of each logarithm
log base b (1/15)=-1.9
log base b... (answered by Alan3354)
Find the exact value of log base of 4[log base of 3(log base of 2)8)] without using a... (answered by stanbon)
express logarithm of log base c 5= a and log base c 4 =b
find log base c of 2
and... (answered by jsmallt9)
find the logarithm: log base 5 of... (answered by orca)
Use the change of base formula and a calculator to evaluate the logarithm. Round the... (answered by rapaljer)
