Question

log 10 5 = x then log 10 50 is eqaul to

Answer 1

Answer:

Step-by-step explanation:

Log₁₀ 5 = x

Log₁₀ 50   = Log₁₀ (5 * 10)

                 = Log₁₀ 5 + Log₁₀ 10    ( ∵ Logₓ (AB) = Logₓ A + Logₓ B)

                 =  x   +  1   ( ∵ Log₁₀ 10 = 1)  

Answer 2

We must recall that:

$Log_xAB=log_xA+log_xB$ and $log_1_010=1$

Given:

$log_1_05=x$

$log_1_050=log_1_0(5\times10)\\=log_1_05=log_1_010\\=x+1$

Hence $log_1_050=x+1.$