$\log_{2}\left(x\right)-\log_{2}\left(10\right)=\log_{2}\left(9.3\right)$

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Final answer to the problem

$x=93$
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Step-by-step Solution

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Apply the formula: $\log_{b}\left(x\right)-\log_{b}\left(y\right)$$=\log_{b}\left(\frac{x}{y}\right)$, where $b=2$ and $y=10$

$\log_{2}\left(\frac{x}{10}\right)=\log_{2}\left(9.3\right)$

Learn how to solve equazioni logaritmiche problems step by step online.

$\log_{2}\left(\frac{x}{10}\right)=\log_{2}\left(9.3\right)$

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Learn how to solve equazioni logaritmiche problems step by step online. log2(x)-log2(10)=log2(9.3). Apply the formula: \log_{b}\left(x\right)-\log_{b}\left(y\right)=\log_{b}\left(\frac{x}{y}\right), where b=2 and y=10. Apply the formula: \log_{a}\left(x\right)=\log_{a}\left(y\right)\to x=y, where a=2, x=\frac{x}{10} and y=\frac{93}{10}. Apply the formula: \frac{a}{b}=c\to a=cb, where a=x, b=10 and c=\frac{93}{10}. Apply the formula: ab=ab, where ab=9.3\cdot 10, a=\frac{93}{10} and b=10.

Final answer to the problem

$x=93$

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Function Plot

Plotting: $\log_{2}\left(x\right)-\log_{2}\left(10\right)-\log_{2}\left(9.3\right)$

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5
6
7
8
9
0
a
b
c
d
f
g
m
n
u
v
w
x
y
z
.
(◻)
+
-
×
◻/◻
/
÷
2

e
π
ln
log
log
lim
d/dx
Dx
|◻|
θ
=
>
<
>=
<=
sin
cos
tan
cot
sec
csc

asin
acos
atan
acot
asec
acsc

sinh
cosh
tanh
coth
sech
csch

asinh
acosh
atanh
acoth
asech
acsch

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