The magnitude of the Pennsylvania earthquake is 4.
<h3>What is a logarithm function?</h3>
An exponent is a logarithm. You may convert any exponential expression to logarithmic form. As an illustration, if 8 = 23, the base is 2, the exponent is 3, and the outcome is 8. This may be represented as 3 = log2 8 in logarithmic notation.
The equation y=logb(x+h)+k shifts the logarithmic function, y=logbx, by k units vertically and h units horizontally.
Using the formula,
log I₁ / I₂ = M₁ - M₂
M₁ = 7.7, I₁ / I₂ = 4900
log 4900 = 7.7 - M₂
log 4900 ≈ 3.69
On calculating,
M₂ ≈ 4
The magnitude of the Pennsylvania earthquake is 4.
To learn more about logarithmic function from given link
brainly.com/question/13473114
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