Which logarithmic graph can be used to approximate the value of y in the equation 4^y=5

Mathematics

1 answer:

NARA [144]3 years ago

3 0

Step-by-step explanation:

Turn $4^y = 5$ into a logarithm and that is the graph

$4^y = 5$ = $log_4 x =y$

$log_4 x =y$

$y = log_4 x$

The graph of $y = log_4 x$ can be used.

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Step-by-step explanation:

$\angle AOB$ and $\angle BOC$ are linear pair angles.

$\therefore m\angle AOB + m\angle BOC = 180° \\ \therefore \: 3x + 124 \degree + 6x + 29 \degree = 180° \\ \therefore \: 9x + 153 \degree = 180° \\ \therefore \: 9x = 180° - 153 \degree \\ \therefore \: 9x = 27 \degree \\ \therefore \:x = \frac{27 \degree }{9} \\ \huge \pink{ \boxed{\therefore \:x =3 \degree }} \\ \\ \because \: m\angle BOC =6x + 29 \degree \\ \therefore \: m\angle BOC =6 \times3 \degree + 29 \degree \\ \therefore \: m\angle BOC = 18\degree + 29 \degree \\ \\ \huge \red{ \boxed{\therefore \: m\angle BOC = 47 \degree }}$