Mathematics · Question Bank

algebra

311 questions · page 7 of 16. Answer in your head first, then check the solution.

#121📜 ECE Board April 1995
What is the sum of the coefficients in the expansion of \((x+y-z)^8\)?
A0
B1
C2
D3
#122📜 CE Board November 1993
Find the value of \(\log_8 48\).
A1.86
B1.68
C1.78
D1.98
#123📜 CE Board November 1997
Evaluate the \(\log_6 845 = x\).
A3.76
B5.84
C4.48
D2.98
#124📜 ME Board April 1997
What is the value of \(\log\) to base 10 of \(1000^{3.3}\)?
A10.9
B99.9
C9.9
D9.5
#125📜 ECE Board April 1998
What is the value of (\(\log\) 5 to the base 2) + (\(\log\) 5 to the base 3)?
A7.39
B3.79
C3.97
D9.37
#126
Find the value of \(\log_4 (\log_3 5)\).
A1.460
B0.275
C1.273
D0.165
#127
Given: \(\log_4 7 = n\). Find \(\log_4 \frac{1}{7}\)
A\(1/n\)
B\(n\)
C\(-1/n\)
D\(-n\)
#128📜 CE Board November 1992
If \(\log_a 10 = 0.25\) what is the value of \(\log_{10} a\)?
A2
B4
C6
D8
#129📜 ECE Board November 1995
Given: \(\log_b y = 2x + \log_b x\) Which of the following is true?
A\(y=b^{2x}\)
B\(y=2xb\)
C\(y=\frac{2x}{b}\)
D\(y=xb^{2x}\)
#130📜 ME Board October 1996
Which value is equal to \(\log\) to the base \(e\) of \(e\) to the \(-7x\) power?
A\(-7x\)
B\(10\) to the \(-7x\) power
C7
D\(-7 \log\) to the base 10
#131📜 ME Board April 1996
Log of the \(n^{th}\) root of \(x\) equals \(\log\) of \(x\) to \(1/n\) power and also equal to
A\(\frac{\log x}{n}\)
B\(n \log x\)
C\(\frac{\log (x \text{ to the } 1/n \text{ power})}{n}\)
D\((n-1)\log x\)
#132📜 ECE Board November 1990
\(\log (MN)\) is equal to:
A\(\log M - N\)
B\(\log M + N\)
C\(N \log M\)
D\(\log M + \log N\)
#133📜 ME Board April 1997
What expression is equivalent to \(\log(x) - \log(y+z)\)?
A\(\log x + \log y + \log z\)
B\(\log [\frac{x}{y+z}]\)
C\(\log x - \log y - \log z\)
D\(\log y + \log(x+z)\)
#134📜 ECE Board November 1991
Given: \(\log_b 1024 = \frac{5}{2}\) Find \(b\).
A2560
B16
C4
D2
#135
Given: \(\log_3 (x^2-8x) = 2\) Find \(x\).
A-1
B9
C-1 and 9
D1 and -9
#136📜 ECE Board April 1993
Solve for the value of \(x\) in the following equation: \(x^{3 \log x} = 100x\)
A12
B8
C30
D10
#137📜 EE Board October 1992
Given: \(\log 6 + x \log 4 = \log 4 + \log(32+4^x)\). Find \(x\).
A2
B3
C4
D6
#138📜 ECE November 1998
If \(\log\) of 2 to the base 2 plus \(\log\) of \(x\) to the base 2 is equal to 2, then the value of \(x\) is,
A4
B-2
C2
D-1
#139📜 ME Board October 1997
Find the value of \(x\) if \(\log_{12} x = 2\).
A144
B414
C524
D425
#140
Solve for the value of \(x\): \(\log 2x^3+\log\frac{6}{x}=6.278\)
A379.65
B365.97
C397.56
D356.79

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