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Verified Answer :

Just substitute M=4.2 in the given equation. Make the whole log term the subject.

\(\log(\frac{E}{10^{11.8}})=\frac{3M}{2}\)

Then, remove the log,:

\(\frac{E}{10^{11.8}}=10^{\frac{3M}{2}} E=10^{11.8}\times10^{\frac{3\times4.2}{2}}=10^{11.8+6.3}=10^{18.1}=1,258,925,411,794,167,210\)

Edufirst

4.2 = [2/3] log [E / 10^11.8 ]

4.2 * 3 / 2 = log E - log (10^11.8)

6.3 + 11.8 = log E

18.1 = log E

E = 10^18.1 erg.

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