Solve 6.42^6*x=2^8quad(2)

$$6.42 ^ { 6 } \cdot x = 2 ^ { 8 } \quad ( 2 )$$

Solve for x

$$x=\frac{8000000000000}{1094032426497921}\approx 0.007312398$$

Steps for Solving Linear Equation

To multiply powers of the same base, add their exponents. Add 8 and 1 to get 9.

$$6.42^{6}x=2^{9}$$

Calculate 6.42 to the power of 6 and get 70018.075295866944.

$$70018.075295866944x=2^{9}$$

Calculate 2 to the power of 9 and get 512.

$$70018.075295866944x=512$$

Divide both sides by 70018.075295866944.

$$x=\frac{512}{70018.075295866944}$$

Expand \frac{512}{70018.075295866944} by multiplying both numerator and the denominator by 1000000000000.

$$x=\frac{512000000000000}{70018075295866944}$$

Reduce the fraction \frac{512000000000000}{70018075295866944} to lowest terms by extracting and canceling out 64.

$$x=\frac{8000000000000}{1094032426497921}$$