Question

2(1.05)^(x)+3=10 solve using log

Answer 1

So it's \((2 \times 1.05^x) + 3 = 10\)?

Answer 2

\[2(1.05)^x+3=10\]

Answer 3

Ok, same thing. :)
So first you want to get the exponent by itself so you can take the log. I assume you know how to do that.

Answer 4

I am not sure lol xlog5.1=1??

Answer 5

I meant do this:
\[2(1.05)^x = 7\]\[(1.05)^x = 3.5\]

Answer 6

dude logs are not my friends

Answer 7

sry i took so long to respond work gets busy then its dead

Answer 8

It's ok. Logs are nobody's friends. But they can be helpful.
Can you solve it from what I gave you or do you need more?

Answer 9

yeah one more step lol

Answer 10

thx

Answer 11

\[x = log_{1.05} 3.5\]

Answer 12

okay but how do you solve that with a ti 83 plus

Answer 13

Use the change of base formula.
\[\log_b n = \frac{\log_a n}{\log_a b}\](For any a \(\ne\) 1 and b \(\ne\) 1)

Answer 14

wow thank you just remembered my teacher showing us that formula will not forget that again