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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

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