Question

if log32=1.505 then what is the value of
log_1000 32?

Answer 1

\[\log _{1000}32 \]

that the second equation

Answer 2

im not sure what to do ??

Answer 3

soooo did a little time ith my notes and i got .502 by the change of base rule

Answer 4

is it correct??

Answer 5

the first line means log base 10 (10 is understood)
\[ \log 32 = \log_{10} 32 = 1.505 \]

you could use the change of base formula:
\[ \log_{new\ base} x = \frac{\log_{old\ base} x}{\log_{old\ base} \text{new base}}\]

Answer 6

yay got it thank you thats what i used n___n @phi

Answer 7

log(1000) = 3

so you should get
\[ log_{1000} 32 = \frac{1.505}{3} = 0.5017 \approx 0.502\]

Answer 8

yup thats it n_n thats what i got n_n thank you !! @phi

Answer 9

if you use a calculator or type into google
1000^(0.5017) =
you will get close to 32. (we would need more digits to get exactly 32)

Answer 10

ohhhh ok then