Question

if log 2to the base 10=0.30103 then log 50 to the base 10=

Answer 1

=log(50)
=log(5x10)
=log5+log10
=0.6989+1
=1.6989

Answer 2

Concept

In mathematics, the logarithm is the inverse function to exponentiation. That means the logarithm of a given number x is the exponent to which another fixed number, the base b, must be raised, to produce that number x.

Given

log₁₀2 = 0.30103

Find

log₁₀50

Solution

We know that

log₁₀(ab) = log₁₀a + log₁₀b

So,

log₁₀50

log₁₀50 = log₁₀(5*10)

= log₁₀5 + log₁₀10

= log₁₀5 + 1

= 0.6989 + 1

= 1.6989

The value of log₁₀50 is 1.6989.

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