How do you convert one log into a common log?

Question

I need to know how to convert all logs of an eq into a commont log. My calculator only does common logs so I need to know how to convert all others into the common log.

Answer 1

the change of base rule says that

log(a)x = log(b)x / log(b)a

(the (a) and (b) represent the base of the log). Since the Common log is base 10, what then (b) in the formula is 10.

log(a)x = log x / log a

For example, if you want to evaluate log(2)5, you would do log 5/log 2.

Answer 2

Common Log

Answer 3

i dont think you can but keep in mind

comon log(10) -> 10 = 10^x (where x would be you answer in this case x=1)

so lets say log base 2 of 8 -> 8 = 2^x -> x = 3

Answer 4

Use the formula: the logarithm in base a of a number b is log(b)/log(a). Your calculator probably does everything in base 10.

Answer 5

just use log base ten

Answer 6

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Answer 7

if you are saying

log(base b)x

then this is the same as (log(x))/(log(b))

if you are saying

log(base b)x = y

this is the same as saying b^y = x

Answer 8

Let, y = log(baseb)x
=> y = log(base10)x/log(base10)b