Use the Change of Base Formula to rewrite each expression using common logarithms. $\log _{7} 8$

Based on the basic dynamic logic circuit of Fig. , sketch complete circuits for NOT, NAND, and NOR gates, the latter two with two inputs, and a circuit for which $\bar{Y}=A B+C D$.

Find the logarithm using common logarithms and the change-of-base formula. $\\$$\log _\pi 100$

Find the logarithm using common logarithms and the change-of-base formula. $\\$$\log _{5.3} 1700$

Evaluate each of the following:

a) log base 2 of 4

b) log base 3 of 27

c) log base 4 of 64

d) log base 5 of 1

e) log base 2 of (1/2)

f) log base 3 of (square root of 3)

Rewrite $5^{12 x-17}=125$ as a logarithm. Then apply the change of base formula to solve for x using the common log. Round to the nearest thousandth

Find the logarithm using common logarithms and the change-of-base formula. $\\$$\log _4 100$

Use the Change of Base Formula to rewrite each expression using common logarithms. $\log _{3} 16$

In the circuit of Fig. , $Q_1$ and $Q_2$ exhibit emitter-base breakdown at $7 \mathrm{~V}$, while for $Q_3$ and $Q_4$ such a breakdown occurs at about $50 \mathrm{~V}$. What differential input voltage would result in the breakdown of the input-stage transistors?

Rewrite $5^{12 x-17}=125$ as a logarithm. Then apply the change of base formula to solve for $x$ using the common log. Round to the nearest thousandth.

What causes charges to move in a circuit?

Use the Change of Base Formula to rewrite each expression using common logarithms. $\log _{4} 9$

For the differential amplifier shown in Fig. , identify and sketch the differential half-circuit and the commonmode half-circuit. Find the differential gain, the differential input resistance, the common-mode gain assuming the resistances $R_C$ have $1 \%$ tolerance, and the common-mode input resistance. For these transistors, $\beta=100$ and $V_4=100 \mathrm{~V}$.

Solve $216^{3 x} \cdot 216^x=36^{3 x+2}$ by rewriting each side with a common base.