To solve this logarithmic expression, we can use the properties of logarithms:
log_a (b) + log_a (c) = log_a (b * clog_a (b) - log_a (c) = log_a (b / c)
Givenlog5 23 + log5 10/23 + log5 12.5
Applying the properties of logarithmslog5 (23 10/23 12.5)
Simplify inside the logarithmlog5 (10 * 12.5)
Calculate the multiplicationlog5 (125)
Therefore, the simplified expression islog5 (125)
To solve this logarithmic expression, we can use the properties of logarithms:
log_a (b) + log_a (c) = log_a (b * c
log_a (b) - log_a (c) = log_a (b / c)
Given
log5 23 + log5 10/23 + log5 12.5
Applying the properties of logarithms
log5 (23 10/23 12.5)
Simplify inside the logarithm
log5 (10 * 12.5)
Calculate the multiplication
log5 (125)
Therefore, the simplified expression is
log5 (125)