Question

Choose the single logarithmic expression that is equivalent to the one shown. Log10 60-log10 10

A. Log10 6
B. Log10 50
C. Log 60
D. Log 5

Answer 1

remember
log(a)-log(b)=(log(a))/(log(b))
so
if the base is 10, just ignore it for now
log(60)-log(10)=(log(60))/(log(10))
note that log10=1
(log(60))/(log(10))=(log(60))/(1)=log60

log₁₀60 is answer or log60

C is answer

Answer 2

correct answer comes out to be option A.

Explanation:

given equation,

log₁₀60 - log₁₀10

using identity of logarithm

logₐb - logₐc =
`log_a((b)/(c ))`

hence,

log₁₀60 - log₁₀10 =
`log_(10)((60)/(10))`

hence,

the equivalent of the given logarithmic expression comes out to be log₁₀ 6

hence, the correct answer comes out to be option A.