ramosashley843
ramosashley843 ramosashley843
  • 17-12-2021
  • Mathematics
contestada

5+10g (7x-4)= 6 answer the given question

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liliannamiron
liliannamiron liliannamiron
  • 17-12-2021
Here’s da answer your welcome
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Snor1ax
Snor1ax Snor1ax
  • 17-12-2021

Answer: x = 6/7

Step-by-step explanation:

Use log10 to bring the exponent down

[tex]5+\log _{10}\left(7x+4\right)=6[/tex]

[tex]5+\log _{10}\left(7x+4\right)-5=6-5[/tex]

[tex]\log _{10}\left(7x+4\right)=1[/tex]

Apply log rule: If logₐ(b) = c, then b=a^c

[tex]7x+4=10^1\\\\7x+4=10\\\\7x=6[/tex]

x = 6/7

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