W9syiinhabidn
Answered

Get clear, concise, and accurate answers to your questions on IDNLearn.com. Get accurate and detailed answers to your questions from our knowledgeable and dedicated community members.

can someone please help me with this logarithm equation!!

Can Someone Please Help Me With This Logarithm Equation class=

Sagot :

Bowmaian000idn

Answer:

[tex]\frac{629}{2}[/tex]

Step-by-step explanation:

So, our equation is:

[tex]log_5(\frac{2x-4}{5}) = 3[/tex]

In exponetial form, this looks like:

[tex]5^3=\frac{2x-4}{5}[/tex]

Now lets cube the 5:

[tex]125=\frac{2x-4}{5}[/tex]

Next, we can multiply the denominator on the right side by 5:

[tex]625=2x-4[/tex]

We need to now get x alone by adding 4 to both sides:

[tex]629=2x[/tex]

Finally, we divide by x's coefficent, 2, to get:

[tex]x=\frac{629}{2}[/tex]

Hope this helps! :3

We greatly appreciate every question and answer you provide. Keep engaging and finding the best solutions. This community is the perfect place to learn and grow together. IDNLearn.com is your go-to source for accurate answers. Thanks for stopping by, and come back for more helpful information.