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Algebra Baldor
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Solve the logarithmic equation $\log_{2}\left(3\right)=\log_{2}\left(5\right)\log_{x}\left(3\right)$

Step-by-step Solution

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Solution

Final answer to the problem

$x=5$
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Step-by-step Solution

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Learn how to solve problems step by step online. Solve the logarithmic equation log2(3)=log2(5)logx(3). Change the logarithm to base x applying the change of base formula for logarithms: \log_b(a)=\frac{\log_x(a)}{\log_x(b)}. Multiplying the fraction by \log_{2}\left(5\right). If the argument of the logarithm (inside the parenthesis) and the base are equal, then the logarithm equals 1. Rearrange the equation.

Final answer to the problem

$x=5$

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Function Plot

Plotting: $\log_{2}\left(3\right)-\log_{2}\left(5\right)\log_{x}\left(3\right)$

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5
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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
D□x
∫
∫◻
|◻|
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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