1 of 8 0-day streak

Solve literal logarithmic and indicial equations

Question 1 of 8

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Solve the displayed equation for t in terms of the literal parameters

\log_{h}\left(ut - 3v\right)=w

The logarithm arguments must be positive whenever a logarithm is used

(a)1 mark

Identify the exact solution written for t

t=\frac{w + 3v}{u}

t=\frac{h^{w} + 3v}{u}

u=\frac{h^{w} + 3v}{t}

\log_{h}\left(ut - 3v\right)=w

(b)2 marks

Complete the table with the numerical multipliers and exponent coefficient shown in the equation

\log_{h}\left(ut - 3v\right)=w

multiplier of the named variable multiplier of the constant parameter

Which conditions must be stated with the exact solution?

h>0,\quad h\ne1,\quad u\ne0

h>0,\quad h\ne1,\quad u=0

h>0,\quad h\ne1

h\ne0,\quad h\ne1,\quad u\ne1