Question

find the exact value of x in the following 2^x=5

Answer 1

change to log form first
\[\huge a^b = c \implies \log_a c = b\]
therefore...
\[\huge 2^ x = 5 \implies \log_2 5 = x\]
make sense?

Answer 2

its going to have to make sense, just show mw where i can go from here with this to get In5/In2

Answer 3

\[\huge \log _2 5 \implies \log 5 \div \log 2 \implies \frac{\log 5}{\log 2}\]\[\huge \implies \frac{\ln 5}{\ln 2}\]

Answer 4

thanks for that, i'm learning calculus and you've been the best help so far, none of the text books i have on calculus contain anything on surds indices or logarithms should i be looking elsewhere for information on these equation types

Answer 5

this is calculus? or precalculus?

Answer 6

pre calculus i guess

Answer 7

hmm well regarding your question i suggest you research on it,..especially logarithms.because you use logarithms a lot in calculus

Answer 8

i'll do that tomorrow but until then i'll keep posting my queries and hope you come to the rescue again

Answer 9

sure