Mathematics: Changing bases to evaluate logarithms in exercise, use the change-of-base formula and a calculator to evaluate the logarithm. log16 64

Changing bases to evaluate logarithms in exercise,

dajahj27

15.01.2022

$\frac{3}{2}$

Step-by-step explanation:

Changing Bases to Evaluate Logarithms

$log_{16}(64)$

Apply change of base formula'

$log_b(a)= \frac{log a}{log b}$

log term should be the numerator and denominator is the log base

$log_{16}(64)$

$log_{16}(a)= \frac{log 64}{log 16}$

64 is 4^3 and 16 is 4^2

$log_{16}(a)= \frac{log 4^3}{log 4^2}$

Move the exponent before log

$\frac{3log 4}{2log 4}$

top and bottom has same log so cancel it out

$\frac{3}{2}$

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connorvoss7345

14.04.2021

40% of the guests called for room service

Step-by-step explanation:

first, we need to get the total number of guests,

170+255=425

next, we need to divide the number of guests that called by the total number,

170/425=0.4

finally, we need to turn tht decimal into a fraction, to do that we just move the decimal point 2 places to the right.

0.4→40%

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