log(2) 2+ log(5) 625=?

linn zayar534

linn zayar534

Answered question

2022-07-11

log(2) 2+ log(5) 625=?

Answer & Explanation

xleb123

xleb123

Skilled2023-06-03Added 181 answers

To solve the given equation, let's evaluate the logarithms using their respective bases.
The equation is:
log22+log5625
Step 1: Simplify each logarithm.
Using the logarithmic property logaa=1 for any positive base a, we have:
log22=1
Similarly, using the logarithmic property logaan=n for any positive base a and exponent n, we have:
log5625=log5(54)=4
Step 2: Substitute the simplified logarithms back into the equation.
Substituting the simplified logarithms, the equation becomes:
1+4
Step 3: Evaluate the expression.
=5
Therefore, the value of log22+log5625 is 5.

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