Question

hi how to solve this indices question??
2^p x 5 = 40

Answer 1

is this
\[2^p\times 5=40\]?

Answer 2

YUP

Answer 3

or
\[2^{5p}=40\]?

Answer 4

The first one.

Answer 5

if it is the first one divide by 5 to get
\[2^p=4\] and then see that
\[p=2\]

Answer 6

how did you divide by 5?

Answer 7

incorrectly i see

Answer 8

\[\frac{40}{5}=8\] not 4

Answer 9

so you really get
\[2^p=8\]
making
\[p=3\]

Answer 10

yesh
but can you explain

Answer 11

how you got rid of 5?

Answer 12

is it just divide 40 by 5 by shifting 5 to the right side?

Answer 13

sure. i will write it step by step
\[2^p\times 5 = 40\]
\[\frac{2^p\times 5}{5}=\frac{40}{5}\]
\[2^p=8\]
\[p=3\] since
\[2^3=8\]

Answer 14

GOSH thank you very much man..
I really really appreciate it :D

Answer 15

divide both sides by 5 gives equivalent equation. yw