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madam [21]
3 years ago
10

Rewrite the logarithm as a ratio of common logarithms and natural logarithms. log4 45

Mathematics
1 answer:
tiny-mole [99]3 years ago
6 0

Answer:

Common logarithm

log_451= \frac{log_1_045}{log_1_08}

Natural logarithms

log_445= \frac{log_e45}{log_e4}

or

log_445= \frac{In45}{In4}

Step-by-step explanation:

From the question we are told that

Log_445

Generally converting log from base x to base 10 si mathematically represented as

log_xa=log_1_0a *log_x10

log_xa= \frac{log_1_0a}{log_1_0x}

Therefore

Common logarithm

log_451= \frac{log_1_045}{log_1_08}

Generally Natural logarithms log_ex\ or\ inx is mathematically represented as

log_xa= \frac{log_ea}{log_ex}

Therefore

Natural logarithms

log_445= \frac{log_e45}{log_e4}

or

log_445= \frac{In45}{In4}

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