Question

3^(x+4)=7^(x-1)

Answer 1

HINT:
______
take log to both sides ,so that the power will get down

Answer 2

\[ 3^{(x+4)}=7^{(x-1)} \implies (x+4) \log 3 = (x-1) \log 7 \] \[ \implies x(\log 3 -\log 7)= -(\log7+\log 3^4)\]

Answer 3

Revert if you need more help.

Answer 4

i need more help .

Answer 5

\[ \implies x = \frac{ -(\log7+\log 3^4)}{(\log 3 -\log 7)} \]

You can simplify further using the logarithm rules.

Answer 6

\(\log a + \log b = \log ab \)

\(\log a - \log b = \log \frac ab \)

\(\log_a b = \frac {\log a} { \log b } \)

Answer 7

Good luck!