👉 Try now NerdPal! Our new math app on iOS and Android

Solve the logarithmic equation $\log_{5}\left(m-8\right)=\log_{5}\left(2m-15\right)$

Step-by-step Solution

Go!
Symbolic mode
Text mode
Go!
1
2
3
4
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

Final answer to the problem

The equation has no solutions.

Step-by-step Solution

How should I solve this problem?

  • Factor
  • Solve for m
  • Find the derivative using the definition
  • Solve by quadratic formula (general formula)
  • Simplify
  • Find the integral
  • Find the derivative
  • Factor by completing the square
  • Find the roots
  • Find break even points
  • Load more...
Can't find a method? Tell us so we can add it.
1

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 $b$

$m-8=2m-15$

Learn how to solve problems step by step online.

$m-8=2m-15$

Unlock unlimited step-by-step solutions and much more!

Create a free account and unlock a glimpse of this solution.

Learn how to solve problems step by step online. Solve the logarithmic equation log5(m+-8)=log5(2*m+-15). 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 m to the left side, and those that do not have it to the right side. Subtract the values 8 and -15. Combining like terms m and -2m.

Final answer to the problem

The equation has no solutions.

Explore different ways to solve this problem

Solving a math problem using different methods is important because it enhances understanding, encourages critical thinking, allows for multiple solutions, and develops problem-solving strategies. Read more

Help us improve with your feedback!

Function Plot

Plotting: $No solution$

Your Math & Physics Tutor. Powered by AI

Available 24/7, 365.

Unlimited step-by-step math solutions. No ads.

Includes multiple solving methods.

Support for more than 100 math topics.

Premium access on our iOS and Android apps as well.

20% discount on online tutoring.

Choose your subscription plan:
Pay $39.97 USD securely with your payment method.
Please hold while your payment is being processed.
Create an Account