Question

1563(1+x)^8=1623 find the value of x with the help of logarithm

Answer 1

Answer:

1563+1563x^8=1623

1563x^8=1623-1563

1563x^8=60

x^8=60-1563

x^8=1503

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Answer 2

Answer:

999

Step-by-step explanation:

1563(1+x)^8=1623

value of x with the help of logarithm

1563(1+x)^8=1623

(1+x)^8=1623/1563

log to base 10  on both sides

8 log(1+x)=log(1623/1563)

log(a/b)=loga-logb

log(1623/1563)=log1623-log1563

                          =3.2103-3.1902

                            =0.0201

log(1+x)=0.0201/8

             =2.811

1+x=$10^{2.81}$

x=$10^{3}$-1

x=999.

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