To simplify this expression, we first need to use the properties of logarithms:
log25 1 + lg10 - log3 27 + log8 512log25 1 + log10 10 - log3 27 + log8 512log25 1 + 1 - log3 27 + log8 5120 + 1 - log3 27 + log8 5121 - log3 27 + log8 5121 - log3 (3^3) + log8 (2^9)
Now, we can further simplify by using the exponent rule for logarithms:
1 - log3 3 + log8 2^91 - 1 + 99
Therefore, the simplified expression is 9.
To simplify this expression, we first need to use the properties of logarithms:
log25 1 + lg10 - log3 27 + log8 512
log25 1 + log10 10 - log3 27 + log8 512
log25 1 + 1 - log3 27 + log8 512
0 + 1 - log3 27 + log8 512
1 - log3 27 + log8 512
1 - log3 (3^3) + log8 (2^9)
Now, we can further simplify by using the exponent rule for logarithms:
1 - log3 3 + log8 2^9
1 - 1 + 9
9
Therefore, the simplified expression is 9.