Solve Logarithms with Ease: 2log10 + log10(1/2 + 1/3) + 1/3log27 Explained

[lionely]

Without using tables:

1. Evaluate 2log₁₀ + log₁₀(1/2 + 1/3) + 1/3log₂₇

2log2 + log 1 - log2 + log1 - log3 + log3 = log2..

This was my attempt but it's wrong . I think I went wrong somewhere here log₁₀(1/2 + 1/3) but I can't find the error.

 

[SammyS]

Without using tables:

1. Evaluate 2log₁₀2 + log₁₀(1/2 + 1/3) + 1/3log₂₇

2log2 + log 1 - log2 + log1 - log3 + log3 = log2..

This was my attempt but it's wrong . I think I went wrong somewhere here log₁₀(1/2 + 1/3) but I can't find the error.

log(a + b) ≠ log(a) + log(b)


What is (1/2) + (1/3) ?

 

[lionely]

oh so it should be log(5/6) ?

 

[lionely]

Oh yes I got it! I got 1. Thanks for pointing that out.