Question

Evaluate each of the following logarithmic expressions, approximating to four decimal places if necessary. Use the

Answer 1

Answer:

log₈(16) = 1.3333

Step-by-step explanation:

Data to be solved:

log₈(16)

Now,

we have the properties of log function as:

1 ) logₓ(y) = $\frac{\log(y)}{\log(x)}$

and,

2) log(aᵇ) = b × log(a)

using the property (1), we get

log₈(16) = $\frac{\log(16)}{\log(8)}$

or

= $\frac{\log(2^4)}{\log(2^3)}$

Now, using the property 2, we get

= $\frac{4\log(2)}{3\log(2)}$

or

= $\frac{4)}{3}$

= 1.3333