Question

If log ₁₀ a = x,  and log ₁₀ c = z, find
`10^(x-y+z)` in terms of a, b and c

Answer 1

`10^(x-y+z)` in terms of a, b and c.
log ₁₀ a = x
⇒ a = 10^x
log ₁₀ b = y
⇒ b = 10^y 
log ₁₀ c = z
⇒ c = 10^z 
`10^(x-y+z)`
= 10^x . 10^-y . 10^z
= a. b^-1.c
= `"ac"/"b"`.