Question

Log(2 to the power 3 × 5 to the power 3)

Answer 1

Answer:

3

Step-by-step explanation:

log(2^3*5^3)

log(8*125)

log(1000)

3

Answer 2

Answer:

$\large\boxed{\sf{3}}$

Step-by-step explanation:

First of all, we simplify the given question.

$log( {2}^{3} \times {5}^{3} )$

Now, further Simplifying,

$= log( {(2 \times 5)}^{3} ) \\ \\ = log( {10}^{3} ) \\ \\ =3 log(10) \\ \\ = 3 \times 1 \\ \\ = 3$

Concept Map :-

• $log( {m}^{n} ) = n log(m)$

• $log(10) = 1$

• ${a}^{m} \times {b}^{m} = {(ab)}^{m}$