anonymous
  • anonymous
How do you solve for x for: 3^(x+2)=4^x + 3
Mathematics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
schrodinger
  • schrodinger
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
a^(p + q) = a^p * a^q
anonymous
  • anonymous
Did you learn logarithms yet?
anonymous
  • anonymous
Yes, just.

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

anonymous
  • anonymous
whenever you are trying to solve a question that has exponents like for ex: 3^x = 4 you use ln and exponential properties to solve the equation. So in this case, let's start by expanding out the equation first on both sides. so the equation will be come: (3^2)(3^x) = (4^x)(4^3) - this step is done using the exponent properties then, you can divide both sides by (3^2) = 9 that will result in (3^x) = (4^x)*(64/9) now we will use ln on both sides so we will get ln(3^x) = ln( (64/9) * 4^x) from here using the ln properties you will get ... x * ln(3) = x*ln(4) + ln(64/9) now take the x*ln(4) over to the other side which will result in x*ln(3) - x*ln(4) = ln(64/9) and then factor out the x and divide. this will result in x = ln(64/9) / (ln(3) - ln(4))
anonymous
  • anonymous
This seems stupid, but do you have it as 4^(x) +3 on the right side?
anonymous
  • anonymous
No this answer presents it as (4^x)(4^3) which is equivalent to 4^(x+3). Do you need help with (4^x) + 3?
anonymous
  • anonymous
Yeah, sorry.
anonymous
  • anonymous
\[\log_{3}3^{x+2}=xlog_{3}4+1\]
anonymous
  • anonymous
Hey laxad. How is Waterloo? I'm going to go this year.
anonymous
  • anonymous
I guess you have your answer up there. The trick in that case would be to use the change of base property to find the solution. Since you have (3^x) and (4^x) it is very difficult or impossible to solve this without changing the base. Waterloo's is awesome! what program are you going into?
anonymous
  • anonymous
CompEng. Is it hard to find a job for the first work term? I heard horrible stories of first years not being employed.
anonymous
  • anonymous
oh cool. contact me offline if you wanna talk.
anonymous
  • anonymous
whats ur email?
anonymous
  • anonymous
dennisso81 at gmail com

Looking for something else?

Not the answer you are looking for? Search for more explanations.