what is log 25 to the base 8?
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Answer:
Step-by-step explanation:
log 25 base 8 = 1.552
First thing you need to do here is to convert the base to the common base which is base 10
To covert to base 10;
Consider the following illustration
log n (in base p) = (log n)/(logp) {in base 10)
The above rule is known as Change of Base
Apply the same rule to the given question:
log 25 base 8 = (log 25)/(log 8)
= (log 5²)/(log2³) = (2log5)/(3log2)
where log 5 = 0.6990 and log 2 = 0.3010
= 2(0.6990)/3(0.3010) = 1.3979/0.9030
⇔㏒25 base 8 = 1.552
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