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Logarithmic Equation
Solve each logarithmic equation.
1) log2 (x+3) + log2 (x–3) = log2 91
x=
3) log5 (x+5) – log5 2 = log5 50
x=
5) 2 log8 x + log8 2 = log8 72
x=
7) log2 6 + log2 (1–x) = 2 log3 6
x=
9) log4 (x+4) + log4 5 = log4 (3x–2)
x=
2) log6 x3+ log6 3 = 4 log6 3
x=
4) log3 (73+x) = log3 16 + 2 log3 2
x=
6) log2 (x–4) – log2 4 = 5 log2 2
x=
8) log3 7 = log3 (x+41) – log3 2
x=
10) log6 x – log6 3 = 2 log6 5
x=
Printable Math Worksheets @ www.mathworksheets4kids.com
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Answer key
Solve each logarithmic equation.
1) log2 (x+3) + log2 (x–3) = log2 91
x=
10
3) log5 (x+5) – log5 2 = log5 50
x=
95
5) 2 log8 x + log8 2 = log8 72
x=
6
7) log2 6 + log2 (1–x) = 2 log3 6
x=
–5
9) log4 (x+4) + log4 5 = log4 (3x–2)
x=
–11
2) log6 x3+ log6 3 = 4 log6 3
x=
3
4) log3 (73+x) = log3 16 + 2 log3 2
x=
–9
6) log2 (x–4) – log2 4 = 5 log2 2
x=
132
8) log3 7 = log3 (x+41) – log3 2
x=
–27
10) log6 x – log6 3 = 2 log6 5
x=
Printable Math Worksheets @ www.mathworksheets4kids.com
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