Question

Which expression is equivalent to 10g12 ×4^×3-2/(× 1)5 4log12x 1/21og12(x3-2)5log12(×.1)?

1) 10g12 ×4^×3-2/(× 1)5 4log12x 1/21og12(x3-2)5log12(×.1)
2) 10g12 ×4^×3-2/(× 1)5 4log12x 1/21og12(x3-2)5log12(×.1)
3) 10g12 ×4^×3-2/(× 1)5 4log12x 1/21og12(x3-2)5log12(×.1)
4) 10g12 ×4^×3-2/(× 1)5 4log12x 1/21og12(x3-2)5log12(×.1)

Answer 1

To simplify the given expression, we need to follow the order of operations. We need to simplify the exponential terms, evaluate the logarithmic terms, combine the logarithmic terms, and simplify the remaining expression.

Step-by-step explanation:

In order to simplify the given expression, we need to follow the correct order of operations. Let's break down the expression step by step:

1. Simplify the exponential terms: 4^×3 can be represented as 4^(3-2), which is equal to 4^1 = 4.
2. Evaluate the logarithmic terms: log12x can be simplified as log12(x) and 1/21og12(x3-2) can be simplified as log12((x3-2)^(1/2)).
3. Combine the logarithmic terms: log12(x) + log12((x3-2)^(1/2)) can be simplified as log12(x(x3-2)^(1/2)).
4. Simplify the remaining expression: 10g12 × 4 - 5 * 4log12(x(x3-2)^(1/2)) * log12(×.1)

Therefore, the expression equivalent to the given expression is 10g12 × 4 - 5 * 4log12(x(x3-2)^(1/2)) * log12(×.1).