The number of solution of {log _2}(x + 5) = 6 | vedclass

Name: PDF Generator App | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(d) ${\log _2}(x + 5) = 6 - x$$ \Rightarrow $$x + 5 = {2^{6 - x}}$$ \Rightarrow $$x + 5 = {64.2^{ - x}}$

Let $y = x + 5$, $y = {64.2^{ - x}}$ will

Vedclass · Accepted Answer

None of these

Vedclass · Answer

(d) ${\log _2}(x + 5) = 6 - x$$ \Rightarrow $$x + 5 = {2^{6 - x}}$$ \Rightarrow $$x + 5 = {64.2^{ - x}}$

Let $y = x + 5$, $y = {64.2^{ - x}}$ will intersect at one point.

Number of solutions $= 1.$

The number of solution of ${\log _2}(x + 5) = 6 - x$ is

Similar Questions

The number ${\log _2}7$ is

If $x = {\log _b}a,\,\,y = {\log _c}b,\,\,\,z = {\log _a}c$, then $xyz$ is

If $x = {\log _3}5,\,\,\,y = {\log _{17}}25,$ which one of the following is correct

If ${\log _{12}}27 = a,$ then ${\log _6}16 = $

If ${a^x} = b,{b^y} = c,{c^z} = a,$ then value of $xyz$ is