5. Find the value of log: 5{log, 25 + log: 125).
a) 2
b) 1 gol = c) 5 = Sod) 4
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Answer:
c)5=sod
Step-by-step explanation:
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the value is 1.5
Step-by-step explanation:
Given : Equation x=\frac{\log 125}{\log 25}x=log25log125
To find : Solve for x ?
Solution :
x=\frac{\log 125}{\log 25}x=log25log125
Re-write 125 and 25 as power of 5,
x=\frac{\log 5^3}{\log 5^2}x=log52log53
Applying logarithmic property, \log a^x=x\log alogax=xloga
x=\frac{3\log 5}{2\log 5}x=2log53log5
Solve it,
x=\frac{3}{2}x=23
x=1.5x=1.5
Therefore, the value of x is 1.5.
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