How to calculate LG (√ 3 + √ 2) + LG (√ 3 - √ 2)?

How to calculate LG (√ 3 + √ 2) + LG (√ 3 - √ 2)?

According to the logarithmic identity, LG (with 3 + with 2) + LG (with 3-with 2) = LG {(with 3 + with 2) (with 3-with 2)} = LG1 = 0

Given that 10 ^ a = 2, B = Lg3, then LG (24 / 5) is represented by a and B
Given LG2 = 0.3010, Lg3 = 0.4771, then the value of LG45 is
The above two problems do not need calculator solution and process, thank you!

lg45=lg5+2lg3=1.6532

Calculate LG ^ 3 2 + LG ^ 3 5 + 3lg2lg5=

Let a = LG2, B = lg5
Then a + B = LG (2 × 5) = LG10 = 1
Original formula = a ^ 3 + B ^ 3 + 3AB
=(a+b)(a^2-ab+b^2)+3ab
=a^2-ab+b^2+3ab
=a^2+2ab+b^2
=(a+b)^2
=1