The solution of the logarithm equation are as follows:
a. l = 100000
b. l = 1000000
Any equation in the variable x that contains a logarithm is called a logarithmic equation.
Let's solve the logarithm equation as follows:
a.
50 = 10 log₁₀ l
Using logarithm law,
50 = 10 log₁₀ l
50 = log₁₀ l¹⁰
10⁵⁰ = l¹⁰
multiply both sides of the exponents by 1 / 10
Hence,
l = 10⁵
Hence, the value of l = 100000
b.
60 = 10 log₁₀ I
Using logarithm rule,
60 = 10 log₁₀ I
60 = log₁₀ l¹⁰
10⁶⁰ = l¹⁰
multiply both sides of the exponents by 1 / 10
l = 10⁶
Hence, the value of l = 1000000
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