The magnitude, m, of an earthquake is defined to be m=log l/s, where i is the intensity of the earthquake (measured by the amplitude of the seismograph wave) and s is the intensity of a “standard” earthquake, which is barely detectable. what is the magnitude of an earthquake that is 1,000 times more intense than a standard earthquake? use a calculator. round your answer to the nearest tenth.

The magnitude of the earthquake that is 1000 times more intense than a standard earthquake=3.0

Step-by-step explanation:

The magnitude "M" of an earthquake is defined as:

                                                                            (1)

where  I is the intensity of the earthquake (measured by the amplitude of the seismograph wave) and S is the intensity of a “standard” earthquake, which is barely detectable.

If  the magnitude of an earthquake that is 1000 times more intense than a standard earthquake, then intensity of Earthquake=1000S

Now, Substituting the value of the intensity of the Earthquake in equation (1), we get

=

=3.0

Therefore,  The magnitude of the earthquake that is 1000 times more intense than a standard earthquake=3.0

step-by-step explanation:

the triangles are similar. therefore the corresponding sides are in proportion:

              cross multiply

            divide both sides by 32