Question

Use the laws of logarithms and the values given below to evaluate the logarithmic expression. log7=0.8451 log5=0.6990 log3=0.4771 log2=0.3010 log8

Answer 1

It appears as though you want to evaluate log(8).

We know 8 = 2³, so the laws of logarithms tell us ...

... log(8) = 3×log(2) = 3×0.3010

... log(8) = 0.9030

Answer 2

log(8) = 0.9030

Explanation:

Given that,

log(2) = 0.3010

log(3) = 0.4771

log(5) = 0.6990

log(7) = 0.8451

We need to find out the value of log(8)

We know that,

2³ = 8

take log both the side

log(2)³ = log(8)

Exponent rule of log is : log(m)ⁿ = nlog(m)

By using this rule of log

3log(2) = log(8)

Put the value of log(2)

3*(0.3010) = log(8)

log(8) = 0.9030

That's the final answer.