Question

Solve the following equation for x

IDEA: isolate the base ^power and then raise to the reciprocal power

4(x+1)^4/3 = 324

Answer 1

Isolate the variable by dividing each side by factors that don't contain the variable.
Exact Form:
x
=
3
4
√
3
−
1
,
−
3
4
√
3
−
1
x
=
3
3
4
-
1
,
-
3
3
4
-
1
Decimal Form:
x
=
2.94822203
…
,
−
4.94822203
…
x
=
2.94822203
…
,
-
4.94822203
…