Find the value of x without using a calculator Log1000000000

Find the value of x without using a calculator. Log(1000000000)

Solution

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Given x = log (1000000000) ...............................(1)

Assuming that base of log is 10.

As per logarithm properties below

Log_mm = 1 & logmⁿ = nlogm

Equation (1) can be written as

log10⁹ = 9 log10 =9 Answer .....Hence solved