To simplify this expression, we first evaluate the logarithmic terms.
log5 75 = log(75)/log(5) ≈ 2.097
log7 3 = log(3)/log(7) ≈ 0.679
Now we substitute these values back into the expression:
(25^2 - log5 75) + (7^-log7 3)= (625 - 2.097) + (7^-0.679)≈ 622.903 + 0.257≈ 623.16
Therefore, (25^2 - log5 75) + (7^-log7 3) is approximately 623.16.
To simplify this expression, we first evaluate the logarithmic terms.
log5 75 = log(75)/log(5) ≈ 2.097
log7 3 = log(3)/log(7) ≈ 0.679
Now we substitute these values back into the expression:
(25^2 - log5 75) + (7^-log7 3)
= (625 - 2.097) + (7^-0.679)
≈ 622.903 + 0.257
≈ 623.16
Therefore, (25^2 - log5 75) + (7^-log7 3) is approximately 623.16.