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Can You Help Me Please class=

Sagot :

MrRoyalidn

Answer:

[tex]log_372 = 3.8928[/tex]

Step-by-step explanation:

Given

[tex]log_38 = 1.8928[/tex]

Required

Evaluate [tex]log_372[/tex]

We have:

[tex]log_372 = log_3(8 *9)[/tex]

Apply law of logarithm

[tex]log_372 = log_38 +log_39[/tex]

Express 9 as 3^2

[tex]log_372 = log_38 +log_33^2[/tex]

Evaluate the exponents

[tex]log_372 = log_38 +2log_33[/tex]

[tex]log_33 = 1[/tex].

So:

[tex]log_372 = log_38 + 2 * 1[/tex]

[tex]log_372 = log_38 + 2[/tex]

Substitute [tex]log_38 = 1.8928[/tex]

[tex]log_372 = 1.8928 + 2[/tex]

[tex]log_372 = 3.8928[/tex]