Mathematics: Y = x2+x-30 what are the factors

Y = x2+x-30 what are the factors - id2309915559, Hellopeople233

lightsofthedarkness

01.12.2022

$\log_5 92=2.809$

$\log_3 2.809=0.940$

Step-by-step explanation:

Given : Expression $\log_5 92$

To find : Use the Change of Base Formula to evaluate the expression also convert the expression to a logarithm in base 3?

Solution :

Applying the change of Base Formula,

i.e. $\log_b x=\frac{log_a x}{\log_a b}$

We get,

$\log_5 92=\frac{\log 92}{\log 5}$

$\log_5 92=\frac{1.963}{0.698}$

$\log_5 92=2.809$

So, The expression is $\log_5 92=2.809$

Now, converting the expression to a logarithm in base 3.

Taking log base 3 in 2.809,

$\log_3 2.809=\frac{log 2.809}{\log 3}$

$\log_3 2.809=\frac{0.448}{0.477}$

$\log_3 2.809=0.940$

Therefore, The solution is $\log_3 2.809=0.940$

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