Question

Find x log(7)x=log(3)(x+4)

Answer 1

Exact Form:
x
=
−
log
(
81
)
log
(
3
)
−
7
x
=
-
log
(
81
)
log
(
3
)
-
7
Decimal Form:
x
=
0.29258324
…

Answer 2

`~~~~~~~x\log (7) = (x+4) \log (3)\\\\\\\implies x \log(7) = x\log (3)+4 \log(3)\\\\\\\implies x \log(7) - x \log(3) = 4 \log(3)\\\\\\\implies x ( \log 7 - \log 3) = 4\log 3\\\\\\\implies x = (4\log 3)/(\log 7 - \log 3) \\\\\\\implies x \approx5.19`