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Solve the logarithmic equation $\log \left(10-4x\right)=\log \left(10-3x\right)$

Step-by-step Solution

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Solution

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Final answer to the problem

$x=0$
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Step-by-step Solution

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Learn how to solve integral calculus problems step by step online. Solve the logarithmic equation log(10+-4*x)=log(10+-3*x). For two logarithms of the same base to be equal, their arguments must be equal. In other words, if \log(a)=\log(b) then a must equal b. Group the terms of the equation by moving the terms that have the variable x to the left side, and those that do not have it to the right side. Subtract the values 10 and -10. Combining like terms -4x and 3x.

Final answer to the problem

$x=0$

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Function Plot

Plotting: $\log \left(10-4x\right)-\log \left(10-3x\right)$

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0
a
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m
n
u
v
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x
y
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.
(◻)
+
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×
◻/◻
/
÷
◻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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Main Topic: Integral Calculus

Integration assigns numbers to functions in a way that can describe displacement, area, volume, and other concepts that arise by combining infinitesimal data.

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