Math  /  Algebra

QuestionlogB5=6M\log B-5=6 M for BB

Studdy Solution

STEP 1

1. The equation logB5=6M\log B - 5 = 6M involves a logarithmic expression.
2. We will need to isolate BB by manipulating the logarithmic equation.

STEP 2

1. Isolate the logarithmic term logB\log B.
2. Solve for BB using properties of logarithms.

STEP 3

Add 5 to both sides of the equation to isolate the logarithmic term:
logB5=6M\log B - 5 = 6M logB=6M+5\log B = 6M + 5

STEP 4

Convert the logarithmic equation to its exponential form to solve for BB. Recall that if logB=C\log B = C, then B=10CB = 10^C:
logB=6M+5\log B = 6M + 5 B=10(6M+5)B = 10^{(6M + 5)}
The value of BB is:
B=10(6M+5)B = 10^{(6M + 5)}

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