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

log (8) = 0.9030

Step-by-step 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.

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