# Given exponential equations,a) 3^{(4x - }=11b) 6^{x + 3}=3^{x}To solve for x

Given exponential equations,
a)
b)
To solve for x

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Sub part a)
We have,

Applying log to the base 10 on both sides,

(Rounded to 9 decimals)
Identities used:
$\left({\mathrm{log}}_{a}x\right)/\left({\mathrm{log}}_{a}y\right)={\mathrm{log}}_{y}x$

Sub part b)
We have,

Applying log to base 2 on both sides,

(Rounded to 9 decimals)
Identities used: